TY - JOUR
ID - 93285
TI - Numerical Solution of System of Nonlinear Integro-Differential Equations Using Hybrid of Legendre Polynomials and Block-Pulse Functions
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Sabzevari, Mehdi
AU - Molaei, Fatemeh
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
Y1 - 2020
PY - 2020
VL - 5
IS - 3
SP - 225
EP - 238
KW - Integro-differential equations
KW - Hybrid functions
KW - Block-Pulse functions
KW - Legendre polynomials
KW - operational matrix
DO - 10.22052/mir.2019.173293.1119
N2 - 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.
UR - https://mir.kashanu.ac.ir/article_93285.html
L1 - https://mir.kashanu.ac.ir/article_93285_452cc3ccf524375be3bfce057abbabf9.pdf
ER -