Farooq Ahmad - Academia.edu (original) (raw)

Papers by Farooq Ahmad

Research paper thumbnail of On Suspension Stability of Nanoparticles to Enhance Thermal Performance of MHD Nanofluid Flow Over a Stretchable Rotating Disk with Bioconvection Effects

F. KHAN, S. AKRAM, S. HUSSAIN, S. FAROOQ, M. K. ALAOUI, F. AHMAD Mathematics Department, Universi... more F. KHAN, S. AKRAM, S. HUSSAIN, S. FAROOQ, M. K. ALAOUI, F. AHMAD Mathematics Department, University of Sargodha, Sargodha, Pakistan CASPAM, Bahauddin Zakariya University, Mulatn, Pakistan Mathematics Department, University of Ha'il, Ha'il, Saudi Arabia Mathematics Department, GC University, Lahore, Pakistan Mathematics Department, College of Sciences, King Khalid University, Abha, Saudi Arabia School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore

Research paper thumbnail of Flow of Micropolar Fluids over a Stretchable Disk

The steady, incompressible micropolar fluid flow over a stretchable disk has been investigated. T... more The steady, incompressible micropolar fluid flow over a stretchable disk has been investigated. The governing partial differential equations have been transformed in to ordinary differential form by using similarity transformations. The resulting equations have been solved numerically, using SOR method and Simpson’s (1/3) rule. The results have been improved by using Richardson’s extrapolation. The velocity, micro rotation and pressure distributions have been obtained for various values of disk rotation parameter s for the range. Comparison of Newtonian and micropolar fluids flow is presented in tabular and graphical forms.

Research paper thumbnail of Characteristics of low IQ arsonists at psychiatric assessment

Medicine, Science and the Law, 2008

We conducted a retrospective study of arsonists referred for psychiatric assessment and found tha... more We conducted a retrospective study of arsonists referred for psychiatric assessment and found that 88/202 (43.6%) had an IQ of 85 or below. The low IQ group showed more evidence of childhood temperamental disturbance, and a later pattern of internal problems rather than external factors expressing themselves as fire-setting. This study highlights the likelihood of lifelong, temperamental problems being apparent in childhood, and being predictive and possibly causative of fire setting in people with a low IQ. Better understanding of the distinct characteristics of lower IQ arsonists is essential for improved prevention, treatment and management.

Research paper thumbnail of Gender differences amongst adult arsonists at psychiatric assessment

Medicine, Science and the Law, 2007

Reports of gender differences amongst arsonists at psychiatric assessment are not uncommon, howev... more Reports of gender differences amongst arsonists at psychiatric assessment are not uncommon, however some are based on relatively small samples. A new retrospective study highlighting gender differences could help to confirm or refute the current state of knowledge. The aim of the current study was to examine gender differences amongst a sample of 167 adult arsonists (129 males and 38 females). Information was collected from clinical records on socio-demographic, family background and childhood factors; adult adjustment; fire setting history; motives; features of pyromania and other offending, from the case notes of a group of arsonists referred to the West Midlands Psychiatry Service over a 24-year period. Female arsonists were older than males and more likely to have a psychiatric diagnosis. Women more frequently had a history of sexual abuse, while men had a more varied criminal background and more substance abuse problems. Our findings largely support previous research, and are d...

Research paper thumbnail of Generalization of Integral Inequalities for Functions whose Modulus of nth Derivatives are Convex

emis.ams.org

The aim of the present paper is to establish some new Ostrowski Grüss-Čebyšev type inequalities i... more The aim of the present paper is to establish some new Ostrowski Grüss-Čebyšev type inequalities involving functions whose modulus of nth derivatives are convex. Our results are generalization of existing results in literature. Remarks given are important.

Research paper thumbnail of Microsatellite Analysis Revealing High Genetic Diversity of the Chestnut Blight Fungus in South Tyrol (Northern Italy)

Forests, 2022

Cryphonectria parasitica, which causes chestnut blight, is one of the most important pathogens of... more Cryphonectria parasitica, which causes chestnut blight, is one of the most important pathogens of forest trees. In Europe, mycovirus-mediated biocontrol is the most efficient method to control the disease but can be impeded by the lack of information about the population structure of the fungus within a region. In particular, sexual reproduction and the new introduction of the pathogen can complicate biocontrol strategies. For this reason, this study aimed to determine the population structure of C. parasitica, which causes chestnut blight, in the northern Italian region of South Tyrol, using eleven multilocus microsatellite markers. Fifty-one haplotypes were found across South Tyrol, belonging to three divergent clusters. Recombinant genotypes demonstrated that sexual reproduction occurs across the different clusters. The most dominant genotypes in the region were also the most dominant in neighboring areas, such as Switzerland, northern Italy and France. All of the clusters from S...

Research paper thumbnail of New Inequalities of Simpson’s type for differentiable functions via generalized convex function

Comptes Rendus. Mathématique, 2021

Research paper thumbnail of Fourth Order Methods for Finding Multiple as well as Distinct Zeros of Non-linear Equations

In this paper, we point out and analyse six two-step iterative methods for finding multiple as we... more In this paper, we point out and analyse six two-step iterative methods for finding multiple as well as distinct zeros of non-linear equations. We prove that the methods for multiple zeros as well as for distinct zeros have fourth order convergence. The methods calculate the multiple as well as distinct zeros with high accuracy. The numerical tests show their better performance in case of algebraic as well as non-algebraic equations.

Research paper thumbnail of Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions

Axioms, 2020

A coupled system of singular fractional differential equations involving Riemann–Liouville integr... more A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.

Research paper thumbnail of Numerical Solution of Nonlinear Diff. Equations for Heat Transfer in Micropolar Fluids over a Stretching Domain

Mathematics, 2020

A numerical study based on finite difference approximation is attempted to analyze the bulk flow,... more A numerical study based on finite difference approximation is attempted to analyze the bulk flow, micro spin flow and heat transfer phenomenon for micropolar fluids dynamics through Darcy porous medium. The fluid flow mechanism is considered over a moving permeable sheet. The heat transfer is associated with two different sets of boundary conditions, the isothermal wall and isoflux boundary. On the basis of porosity of medium, similarity functions are utilized to avail a set of ordinary differential equations. The non-linear coupled ODE’s have been solved with a very stable and reliable numerical scheme that involves Simpson’s Rule and Successive over Relaxation method. The accuracy of the results is improved by making iterations on three different grid sizes and higher order accuracy in the results is achieved by Richardson extrapolation. This study provides realistic and differentiated results with due considerations of micropolar fluid theory. The micropolar material parameters d...

Research paper thumbnail of Some results on integral inequalities via Riemann–Liouville fractional integrals

Journal of Inequalities and Applications, 2019

In current continuation, we have incorporated the notion of s-(α, m)-convex functions and have es... more In current continuation, we have incorporated the notion of s-(α, m)-convex functions and have established new integral inequalities. In order to generalize Hermite-Hadamard-type inequalities, some new integral inequalities of Hermite-Hadamard and Simpson type using s-(α, m)-convex function via Riemann-Liouville fractional integrals are obtained that reproduce the results presented by (

Research paper thumbnail of Some fractional integral inequalities of type Hermite–Hadamard through convexity

Journal of Inequalities and Applications, 2019

In the present article, the authors have established some Hermite-Hadamard type integral inequali... more In the present article, the authors have established some Hermite-Hadamard type integral inequalities via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard type inequalities and a few other results (Dragomir and Agarwal

Research paper thumbnail of New weighted Ostrowski and Ceby�ev type inequalities

Nonlinear Anal Theor Meth App, 2009

Research paper thumbnail of Indigenous uses of economically important flora of Margallah Hills National Park, Islamabad, Pakistan

African Journal of Biotechnology, Mar 6, 2009

Informal interviews provided data about 245 useful plants of 77 families of 55 trees, 54 shrubs, ... more Informal interviews provided data about 245 useful plants of 77 families of 55 trees, 54 shrubs, 105 herbs, 15 climber, 10 grasses and 6 crops recorded from the Margallah Hills National Park, Islamabad. Two hundred and fifteen local/ vernacular names were noted of total plants. The inhabitants of the park have for a long time been dependent on surrounding plant resources for their food, health care, fodder, fuel wood and other cultural purposes. A list of plant species along with their local name, plant part/s used, popular uses (or troubles treated) are given. The pastoral nomads of the area make use of 159 (64.89%) as native medicine, 79 (32.24%) as fodder for their livestock, 47(19.18%) as fuelwood, 33 (13.46%) as food (fruits), 18 (7.34%) as vegetables, 14 (5.71%) as timber, 6 (2.44%) as industrial, 4 (1.63%) as tannin, 3 (1.22%) as gum and 2 (0.81%) as fiber. Medicinal uses of the 126 plant species have also been described. This information will serve as reference for the benefit of pharmacists, researchers, Hakims (herbalist), veterinarians and public at large.

Research paper thumbnail of MHD Flow of Micropolar Fluids over a Shrinking Sheet with Mass Suction

Research paper thumbnail of Ostrowski, Grüss, v{C}ebyv{s}ev type inequalities for functions whose second derivatives belong to Lp(a,b) and whose modulus of second derivatives are convex

Revista Colombiana De Matematicas, 2007

Research paper thumbnail of Numerical Solution of MHD Flow over a Stretching Sheet

Numerical solution is obtained for magnetohyderodynamic (MHD) flow about a stretching sheet. Simi... more Numerical solution is obtained for magnetohyderodynamic (MHD) flow about a stretching sheet. Similarity transformations are used to convert the highly non-linear governing partial differential equations into ordinary differential form. The resulting equations of motion are then solved numerically using Succssesive Over Relaxation (SOR)method and Simpson's (1/3) rule. The numerical results are improved by using Richardson's extrapolation. The effects of magnetic parameter are examined on the velocity and pressure profiles. AMS Subject Classification: 76M20

Research paper thumbnail of Fifth-order iterative scheme using decomposition technique

Research paper thumbnail of On weighted Ostrowski type inequalities in L 1 (a,b) spaces

Mathematical Communications

The main aim of this paper is to establish weighted Ostrowski type inequalities for the product o... more The main aim of this paper is to establish weighted Ostrowski type inequalities for the product of two continuous functions whose derivatives are in L1(a, b) spaces. Our results also provide new weighted estimates on these inequalities.

Research paper thumbnail of Brick Kilns and Sugar Mill: Severe Environmental Health Hazards Cause Respiratory Diseases in Tehsil Darya Khan, District Bhakkar, Punjab, Pakistan

Research paper thumbnail of On Suspension Stability of Nanoparticles to Enhance Thermal Performance of MHD Nanofluid Flow Over a Stretchable Rotating Disk with Bioconvection Effects

F. KHAN, S. AKRAM, S. HUSSAIN, S. FAROOQ, M. K. ALAOUI, F. AHMAD Mathematics Department, Universi... more F. KHAN, S. AKRAM, S. HUSSAIN, S. FAROOQ, M. K. ALAOUI, F. AHMAD Mathematics Department, University of Sargodha, Sargodha, Pakistan CASPAM, Bahauddin Zakariya University, Mulatn, Pakistan Mathematics Department, University of Ha'il, Ha'il, Saudi Arabia Mathematics Department, GC University, Lahore, Pakistan Mathematics Department, College of Sciences, King Khalid University, Abha, Saudi Arabia School of Mechanical and Aerospace Engineering, NANYANG Technological University, Singapore

Research paper thumbnail of Flow of Micropolar Fluids over a Stretchable Disk

The steady, incompressible micropolar fluid flow over a stretchable disk has been investigated. T... more The steady, incompressible micropolar fluid flow over a stretchable disk has been investigated. The governing partial differential equations have been transformed in to ordinary differential form by using similarity transformations. The resulting equations have been solved numerically, using SOR method and Simpson’s (1/3) rule. The results have been improved by using Richardson’s extrapolation. The velocity, micro rotation and pressure distributions have been obtained for various values of disk rotation parameter s for the range. Comparison of Newtonian and micropolar fluids flow is presented in tabular and graphical forms.

Research paper thumbnail of Characteristics of low IQ arsonists at psychiatric assessment

Medicine, Science and the Law, 2008

We conducted a retrospective study of arsonists referred for psychiatric assessment and found tha... more We conducted a retrospective study of arsonists referred for psychiatric assessment and found that 88/202 (43.6%) had an IQ of 85 or below. The low IQ group showed more evidence of childhood temperamental disturbance, and a later pattern of internal problems rather than external factors expressing themselves as fire-setting. This study highlights the likelihood of lifelong, temperamental problems being apparent in childhood, and being predictive and possibly causative of fire setting in people with a low IQ. Better understanding of the distinct characteristics of lower IQ arsonists is essential for improved prevention, treatment and management.

Research paper thumbnail of Gender differences amongst adult arsonists at psychiatric assessment

Medicine, Science and the Law, 2007

Reports of gender differences amongst arsonists at psychiatric assessment are not uncommon, howev... more Reports of gender differences amongst arsonists at psychiatric assessment are not uncommon, however some are based on relatively small samples. A new retrospective study highlighting gender differences could help to confirm or refute the current state of knowledge. The aim of the current study was to examine gender differences amongst a sample of 167 adult arsonists (129 males and 38 females). Information was collected from clinical records on socio-demographic, family background and childhood factors; adult adjustment; fire setting history; motives; features of pyromania and other offending, from the case notes of a group of arsonists referred to the West Midlands Psychiatry Service over a 24-year period. Female arsonists were older than males and more likely to have a psychiatric diagnosis. Women more frequently had a history of sexual abuse, while men had a more varied criminal background and more substance abuse problems. Our findings largely support previous research, and are d...

Research paper thumbnail of Generalization of Integral Inequalities for Functions whose Modulus of nth Derivatives are Convex

emis.ams.org

The aim of the present paper is to establish some new Ostrowski Grüss-Čebyšev type inequalities i... more The aim of the present paper is to establish some new Ostrowski Grüss-Čebyšev type inequalities involving functions whose modulus of nth derivatives are convex. Our results are generalization of existing results in literature. Remarks given are important.

Research paper thumbnail of Microsatellite Analysis Revealing High Genetic Diversity of the Chestnut Blight Fungus in South Tyrol (Northern Italy)

Forests, 2022

Cryphonectria parasitica, which causes chestnut blight, is one of the most important pathogens of... more Cryphonectria parasitica, which causes chestnut blight, is one of the most important pathogens of forest trees. In Europe, mycovirus-mediated biocontrol is the most efficient method to control the disease but can be impeded by the lack of information about the population structure of the fungus within a region. In particular, sexual reproduction and the new introduction of the pathogen can complicate biocontrol strategies. For this reason, this study aimed to determine the population structure of C. parasitica, which causes chestnut blight, in the northern Italian region of South Tyrol, using eleven multilocus microsatellite markers. Fifty-one haplotypes were found across South Tyrol, belonging to three divergent clusters. Recombinant genotypes demonstrated that sexual reproduction occurs across the different clusters. The most dominant genotypes in the region were also the most dominant in neighboring areas, such as Switzerland, northern Italy and France. All of the clusters from S...

Research paper thumbnail of New Inequalities of Simpson’s type for differentiable functions via generalized convex function

Comptes Rendus. Mathématique, 2021

Research paper thumbnail of Fourth Order Methods for Finding Multiple as well as Distinct Zeros of Non-linear Equations

In this paper, we point out and analyse six two-step iterative methods for finding multiple as we... more In this paper, we point out and analyse six two-step iterative methods for finding multiple as well as distinct zeros of non-linear equations. We prove that the methods for multiple zeros as well as for distinct zeros have fourth order convergence. The methods calculate the multiple as well as distinct zeros with high accuracy. The numerical tests show their better performance in case of algebraic as well as non-algebraic equations.

Research paper thumbnail of Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions

Axioms, 2020

A coupled system of singular fractional differential equations involving Riemann–Liouville integr... more A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.

Research paper thumbnail of Numerical Solution of Nonlinear Diff. Equations for Heat Transfer in Micropolar Fluids over a Stretching Domain

Mathematics, 2020

A numerical study based on finite difference approximation is attempted to analyze the bulk flow,... more A numerical study based on finite difference approximation is attempted to analyze the bulk flow, micro spin flow and heat transfer phenomenon for micropolar fluids dynamics through Darcy porous medium. The fluid flow mechanism is considered over a moving permeable sheet. The heat transfer is associated with two different sets of boundary conditions, the isothermal wall and isoflux boundary. On the basis of porosity of medium, similarity functions are utilized to avail a set of ordinary differential equations. The non-linear coupled ODE’s have been solved with a very stable and reliable numerical scheme that involves Simpson’s Rule and Successive over Relaxation method. The accuracy of the results is improved by making iterations on three different grid sizes and higher order accuracy in the results is achieved by Richardson extrapolation. This study provides realistic and differentiated results with due considerations of micropolar fluid theory. The micropolar material parameters d...

Research paper thumbnail of Some results on integral inequalities via Riemann–Liouville fractional integrals

Journal of Inequalities and Applications, 2019

In current continuation, we have incorporated the notion of s-(α, m)-convex functions and have es... more In current continuation, we have incorporated the notion of s-(α, m)-convex functions and have established new integral inequalities. In order to generalize Hermite-Hadamard-type inequalities, some new integral inequalities of Hermite-Hadamard and Simpson type using s-(α, m)-convex function via Riemann-Liouville fractional integrals are obtained that reproduce the results presented by (

Research paper thumbnail of Some fractional integral inequalities of type Hermite–Hadamard through convexity

Journal of Inequalities and Applications, 2019

In the present article, the authors have established some Hermite-Hadamard type integral inequali... more In the present article, the authors have established some Hermite-Hadamard type integral inequalities via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard type inequalities and a few other results (Dragomir and Agarwal

Research paper thumbnail of New weighted Ostrowski and Ceby�ev type inequalities

Nonlinear Anal Theor Meth App, 2009

Research paper thumbnail of Indigenous uses of economically important flora of Margallah Hills National Park, Islamabad, Pakistan

African Journal of Biotechnology, Mar 6, 2009

Informal interviews provided data about 245 useful plants of 77 families of 55 trees, 54 shrubs, ... more Informal interviews provided data about 245 useful plants of 77 families of 55 trees, 54 shrubs, 105 herbs, 15 climber, 10 grasses and 6 crops recorded from the Margallah Hills National Park, Islamabad. Two hundred and fifteen local/ vernacular names were noted of total plants. The inhabitants of the park have for a long time been dependent on surrounding plant resources for their food, health care, fodder, fuel wood and other cultural purposes. A list of plant species along with their local name, plant part/s used, popular uses (or troubles treated) are given. The pastoral nomads of the area make use of 159 (64.89%) as native medicine, 79 (32.24%) as fodder for their livestock, 47(19.18%) as fuelwood, 33 (13.46%) as food (fruits), 18 (7.34%) as vegetables, 14 (5.71%) as timber, 6 (2.44%) as industrial, 4 (1.63%) as tannin, 3 (1.22%) as gum and 2 (0.81%) as fiber. Medicinal uses of the 126 plant species have also been described. This information will serve as reference for the benefit of pharmacists, researchers, Hakims (herbalist), veterinarians and public at large.

Research paper thumbnail of MHD Flow of Micropolar Fluids over a Shrinking Sheet with Mass Suction

Research paper thumbnail of Ostrowski, Grüss, v{C}ebyv{s}ev type inequalities for functions whose second derivatives belong to Lp(a,b) and whose modulus of second derivatives are convex

Revista Colombiana De Matematicas, 2007

Research paper thumbnail of Numerical Solution of MHD Flow over a Stretching Sheet

Numerical solution is obtained for magnetohyderodynamic (MHD) flow about a stretching sheet. Simi... more Numerical solution is obtained for magnetohyderodynamic (MHD) flow about a stretching sheet. Similarity transformations are used to convert the highly non-linear governing partial differential equations into ordinary differential form. The resulting equations of motion are then solved numerically using Succssesive Over Relaxation (SOR)method and Simpson's (1/3) rule. The numerical results are improved by using Richardson's extrapolation. The effects of magnetic parameter are examined on the velocity and pressure profiles. AMS Subject Classification: 76M20

Research paper thumbnail of Fifth-order iterative scheme using decomposition technique

Research paper thumbnail of On weighted Ostrowski type inequalities in L 1 (a,b) spaces

Mathematical Communications

The main aim of this paper is to establish weighted Ostrowski type inequalities for the product o... more The main aim of this paper is to establish weighted Ostrowski type inequalities for the product of two continuous functions whose derivatives are in L1(a, b) spaces. Our results also provide new weighted estimates on these inequalities.

Research paper thumbnail of Brick Kilns and Sugar Mill: Severe Environmental Health Hazards Cause Respiratory Diseases in Tehsil Darya Khan, District Bhakkar, Punjab, Pakistan