Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions

Document Type: Original Scientific Paper

Authors

1 Department of applied mathematics, faculty of mathematical sciences, University of Kashan, Kashan, Iran.

2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

10.22052/mir.2019.173293.1119

Abstract

In this paper, numerical techniques are presented for solving system of nonlinear integro-differential equations. The method is implemented by applying hybrid of Legendre polynomials and block-pulse functions. The operational matrix of integration and the integration of the cross product of two hybrid function vectors are derived in order to transform the system of nonlinear integro-differential equations into a system of algebraic equations. Finally, the accuracy of the method is illustrated through some numerical examples and the corresponding results are presented.

Keywords

Mathematics Interdisciplinary Research

Articles in Press, Accepted Manuscript
Available Online from 17 September 2019

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