%0 Journal Article
%T Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Sabzevari, Mehdi
%A Molaei, Fatemeh
%D 2020
%\ 09/01/2020
%V 5
%N 3
%P 225-238
%! Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions
%K Integro-differential equations
%K Hybrid functions
%K Block-Pulse functions
%K Legendre polynomials
%K operational matrix
%R 10.22052/mir.2019.173293.1119
%X 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.
%U https://mir.kashanu.ac.ir/article_93285_452cc3ccf524375be3bfce057abbabf9.pdf