- Cankaya University Journal of Science and Engineering
- Volume:12 Issue:2
- Two-dimensional Chebyshev Polynomials for Solving Two-dimensional Integro-Differential Equations
Two-dimensional Chebyshev Polynomials for Solving Two-dimensional Integro-Differential Equations
Authors : Azim RİVAZ, Samane JAHAN ARA, Farzaneh YOUSEFİ
Pages : 0-0
View : 21 | Download : 11
Publication Date : 2015-11-01
Article Type : Research Paper
Abstract :In this paper, we present a new approach to obtain the numerical solution of the linear twodimensional Fredholm and Volterra integro-differential equations insert ignore into journalissuearticles values(2D-FIDE and 2D-VIDE);. First, we introduce the two-dimensional Chebyshev polynomials and construct their operational matrices of integration. Then, both of them, two-dimensional Chebyshev polynomials and their operational matrix of integration, are used to represent the matrix form of 2D-FIDE and 2D-VIDE. The main characteristic of this approach is that it reduces 2D-FIDE and 2D-VIDE to a system of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the presented techniqueKeywords : Two dimensional Fredholm and Volterra integro differential equations, Two dimensional Chebyshev polynomials, Operational matrix of integration