Dr.A. K. Adio - Academia.edu (original) (raw)
Papers by Dr.A. K. Adio
In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in... more In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in South Sulawesi is discussed. The SIR model is formed by a system of nonlinear differential equation. We shall comparevariational iteration method (VIM) againsthomotopy perturbation method (HPM). The Lagrange multiplier is investigated for VIM and the He’s polynomial approach for HPM is used. The two methods are the alternative methods to obtainthe approximate solutions of the SEIR model. Additional comparison will be made against the conventional numerical method, fourth Runge-Kutta method (RK4). From the result, VIM solution is more accurate than HPM solution for long time interval when it compared to fourth order Runge–Kutta (RK4) and plotting of real data.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
In this paper we have focused a variety of Data mining techniques, approaches and applications ar... more In this paper we have focused a variety of Data mining techniques, approaches and applications areas which has been helpful in the important field of data mining Technologies. Organizations are operated from various geographical locations, and such operation may generate large volumes of data. The data is warehoused and used by corporate decision makers to take strategic decisions in the significant business value. Thus, improving the effectiveness of managerial decision-making. Based on the aforementioned, a comparative analysis was conducted to compare data mining techniques in various domains. To examine the need for domain expert. The value of such domain expert is easily recognized. This has drastically changed the areas of science and engineering.
Automata Theory, a theoretical branch of computer science, helps “to understand how machines comp... more Automata Theory, a theoretical branch of computer science, helps “to understand how machines compute functions and solve problems. An automaton is any machine that uses a specific, repeatable process to convert information into different forms. Gamification is an example of an automaton. The goal of gamification is the implementation of game mechanics in real-world contexts for non-gaming purposes, to foster human motivation and performance in regard to a given activity. This can be used for the automation” of mundane tasks. Customization and tailoring of interests, “content curation, life management, using all of these options, information can be gathered quickly and delivered effectively to” users. Based on this, a theoretical understanding of automata theory in gamification application was presented. The game mechanics configuration, when deliberately varied, in regards to the effect of fulfilling their basic functionalities can potentially improve user engagement, productivity, ...
Applied mathematical sciences, 2017
In this paper, a new analytical technique called Natural transform homotopy perturbation method h... more In this paper, a new analytical technique called Natural transform homotopy perturbation method has been successfully applied to obtain exact solution of nonlinear gas dynamic equation. Application of the method to three test modeling problems from mathematical physics lead to sequence which tends to the exact solution of the problems. The solution procedure shows the reliability of the method and is high accuracy evident.
In this paper, Natural transform and Homotopy perturbation methods are coupled to study third ord... more In this paper, Natural transform and Homotopy perturbation methods are coupled to study third order Korteweg-De Vries (KDV) equation analytically. The introduced technique is useful to obtain closed form solutions. The combined method required less computational effort when compared with some existing methods and reduced volume of calculations. Three illustrative examples are used to demonstrate the effectiveness of the method.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
Indian Journal of Science and Technology, Nov 20, 2019
Indian Journal of Science and Technology, Nov 20, 2019
Indian Journal of Science and Technology
Journal of Mathematics Research
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
In this paper, the reduced differential transformation method is used to obtain the solution of s... more In this paper, the reduced differential transformation method is used to obtain the solution of systems of nonlinear partial differential equation. The exact solutions of three systems of nonlinear partial differential equations are calculated in the form of series with easily computable components. A comparison of the technique with some other known techniques like Adomian Decomposition Method (ADM), Variation Iteration Method (VIM) shows the simplicity, effectiveness and efficiency of the present approach with less computational work.
In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in... more In this paper, the susceptible-exposed–infected–recovered (SEIR) model of dengue fever disease in South Sulawesi is discussed. The SIR model is formed by a system of nonlinear differential equation. We shall comparevariational iteration method (VIM) againsthomotopy perturbation method (HPM). The Lagrange multiplier is investigated for VIM and the He’s polynomial approach for HPM is used. The two methods are the alternative methods to obtainthe approximate solutions of the SEIR model. Additional comparison will be made against the conventional numerical method, fourth Runge-Kutta method (RK4). From the result, VIM solution is more accurate than HPM solution for long time interval when it compared to fourth order Runge–Kutta (RK4) and plotting of real data.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
In this paper we have focused a variety of Data mining techniques, approaches and applications ar... more In this paper we have focused a variety of Data mining techniques, approaches and applications areas which has been helpful in the important field of data mining Technologies. Organizations are operated from various geographical locations, and such operation may generate large volumes of data. The data is warehoused and used by corporate decision makers to take strategic decisions in the significant business value. Thus, improving the effectiveness of managerial decision-making. Based on the aforementioned, a comparative analysis was conducted to compare data mining techniques in various domains. To examine the need for domain expert. The value of such domain expert is easily recognized. This has drastically changed the areas of science and engineering.
Automata Theory, a theoretical branch of computer science, helps “to understand how machines comp... more Automata Theory, a theoretical branch of computer science, helps “to understand how machines compute functions and solve problems. An automaton is any machine that uses a specific, repeatable process to convert information into different forms. Gamification is an example of an automaton. The goal of gamification is the implementation of game mechanics in real-world contexts for non-gaming purposes, to foster human motivation and performance in regard to a given activity. This can be used for the automation” of mundane tasks. Customization and tailoring of interests, “content curation, life management, using all of these options, information can be gathered quickly and delivered effectively to” users. Based on this, a theoretical understanding of automata theory in gamification application was presented. The game mechanics configuration, when deliberately varied, in regards to the effect of fulfilling their basic functionalities can potentially improve user engagement, productivity, ...
Applied mathematical sciences, 2017
In this paper, a new analytical technique called Natural transform homotopy perturbation method h... more In this paper, a new analytical technique called Natural transform homotopy perturbation method has been successfully applied to obtain exact solution of nonlinear gas dynamic equation. Application of the method to three test modeling problems from mathematical physics lead to sequence which tends to the exact solution of the problems. The solution procedure shows the reliability of the method and is high accuracy evident.
In this paper, Natural transform and Homotopy perturbation methods are coupled to study third ord... more In this paper, Natural transform and Homotopy perturbation methods are coupled to study third order Korteweg-De Vries (KDV) equation analytically. The introduced technique is useful to obtain closed form solutions. The combined method required less computational effort when compared with some existing methods and reduced volume of calculations. Three illustrative examples are used to demonstrate the effectiveness of the method.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
Journal of Mathematics Research, Sep 20, 2019
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
Indian Journal of Science and Technology, Nov 20, 2019
Indian Journal of Science and Technology, Nov 20, 2019
Indian Journal of Science and Technology
Journal of Mathematics Research
A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinea... more A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.
In this paper, the reduced differential transformation method is used to obtain the solution of s... more In this paper, the reduced differential transformation method is used to obtain the solution of systems of nonlinear partial differential equation. The exact solutions of three systems of nonlinear partial differential equations are calculated in the form of series with easily computable components. A comparison of the technique with some other known techniques like Adomian Decomposition Method (ADM), Variation Iteration Method (VIM) shows the simplicity, effectiveness and efficiency of the present approach with less computational work.