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reza Firouzdor

I'm univercity teacher. I like mathematic.

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Papers by reza Firouzdor

Research paper thumbnail of Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation

International Journal of Mathematical Modelling & Computations, 2017

In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy fun... more In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function tildef:RrightarrowmathcalF(R)tilde{f}:Rrightarrow mathcal{F}(R)tildef:RrightarrowmathcalF(R), on a discrete point set X=x1,x2,ldots,x_nX={x_1,x_2,ldots,x_n}X=x_1,x2,ldots,xn, by a fuzzy-valued function tildeStilde{S}tildeS. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system will be obtained which by defining coefficient vector, target function will be approximated. Finally for showing the efficiency of the method we give some numerical examples.

Research paper thumbnail of Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations

International Journal of Mathematical Modelling & Computations, 2020

This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dime... more This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst alinear system 􀀀C = G will be achieved; then the coecients vector is de ned, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples.

Research paper thumbnail of Application of radial basis function to approximate functional integral equations

Journal of Interpolation and Approximation in Scientific Computing, 2016

In the present paper, Radial Basis Function (RBF) interpolation is applied to approximate the num... more In the present paper, Radial Basis Function (RBF) interpolation is applied to approximate the numerical solution of both Fredlholm and Volterra functional integral equations. RBF interpolation is based on linear combinations of terms which include a single univariate function. Applying RBF in functional integral equation, a linear system ΨC = G will be obtain in which by defining coefficient vector C, target function will be approximiated. Finally, validity of the method is illustrated by some examples.

Research paper thumbnail of Approximation in Chaotic System of Ordinary Differential Equations by Euler Method and Controlling by Array Method

Research paper thumbnail of A View to Numerical Analysis with exercises (Farsi)

This book is a course and exercise manuscript.

Research paper thumbnail of Numerical Analysis with exercises

Research paper thumbnail of SCIENCE ROAD JOURNAL Year: 2014 Volume: 02 Issue: 03 Pages: 145-151 Solving differential model by heat partial derivatives using bivariate B-spline approximation function with tensor product

Thus far, numerous studies have been done on approximation of multivariate functions, especially ... more Thus far, numerous studies have been done on approximation of multivariate functions, especially approximation of functions using B-splines. In this paper, B-spline functions were used by tensor product. By applying this approximation and replacing it in differential equation along with partial derivatives relating to heat equations, an approximate response was found for the equation, the results of which demonstrated a method improvement. Finally, a numerical example was presented to state this issue.

Research paper thumbnail of Numerical solution of functional integral equations by the variational iteration method

Journal of Computational and Applied Mathematics, 2011

This paper describes an approximating solution, based on Lagrange interpolation and spline functi... more This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples.

Research paper thumbnail of Numerical solution of a fuzzy linear system by using PSO method

Journal of Fuzzy Set Valued Analysis, 2016

In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is consi... more In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered. This system would be changed into an optimazition problem which is based on Particle Swarm obtimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.

Research paper thumbnail of Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation

International Journal of Mathematical Modelling & Computations, 2017

In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy fun... more In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function tildef:RrightarrowmathcalF(R)tilde{f}:Rrightarrow mathcal{F}(R)tildef:RrightarrowmathcalF(R), on a discrete point set X=x1,x2,ldots,x_nX={x_1,x_2,ldots,x_n}X=x_1,x2,ldots,xn, by a fuzzy-valued function tildeStilde{S}tildeS. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system will be obtained which by defining coefficient vector, target function will be approximated. Finally for showing the efficiency of the method we give some numerical examples.

Research paper thumbnail of Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations

International Journal of Mathematical Modelling & Computations, 2020

This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dime... more This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst alinear system 􀀀C = G will be achieved; then the coecients vector is de ned, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples.

Research paper thumbnail of Application of radial basis function to approximate functional integral equations

Journal of Interpolation and Approximation in Scientific Computing, 2016

In the present paper, Radial Basis Function (RBF) interpolation is applied to approximate the num... more In the present paper, Radial Basis Function (RBF) interpolation is applied to approximate the numerical solution of both Fredlholm and Volterra functional integral equations. RBF interpolation is based on linear combinations of terms which include a single univariate function. Applying RBF in functional integral equation, a linear system ΨC = G will be obtain in which by defining coefficient vector C, target function will be approximiated. Finally, validity of the method is illustrated by some examples.

Research paper thumbnail of Approximation in Chaotic System of Ordinary Differential Equations by Euler Method and Controlling by Array Method

Research paper thumbnail of A View to Numerical Analysis with exercises (Farsi)

This book is a course and exercise manuscript.

Research paper thumbnail of Numerical Analysis with exercises

Research paper thumbnail of SCIENCE ROAD JOURNAL Year: 2014 Volume: 02 Issue: 03 Pages: 145-151 Solving differential model by heat partial derivatives using bivariate B-spline approximation function with tensor product

Thus far, numerous studies have been done on approximation of multivariate functions, especially ... more Thus far, numerous studies have been done on approximation of multivariate functions, especially approximation of functions using B-splines. In this paper, B-spline functions were used by tensor product. By applying this approximation and replacing it in differential equation along with partial derivatives relating to heat equations, an approximate response was found for the equation, the results of which demonstrated a method improvement. Finally, a numerical example was presented to state this issue.

Research paper thumbnail of Numerical solution of functional integral equations by the variational iteration method

Journal of Computational and Applied Mathematics, 2011

This paper describes an approximating solution, based on Lagrange interpolation and spline functi... more This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples.

Research paper thumbnail of Numerical solution of a fuzzy linear system by using PSO method

Journal of Fuzzy Set Valued Analysis, 2016

In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is consi... more In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered. This system would be changed into an optimazition problem which is based on Particle Swarm obtimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.

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