University of KashanMathematics Interdisciplinary Research2538-36395320200901Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions2252389328510.22052/mir.2019.173293.1119ENMehdiSabzevariDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranFatemehMolaeiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranJournal Article20190226In 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.https://mir.kashanu.ac.ir/article_93285_452cc3ccf524375be3bfce057abbabf9.pdf