University of Guilan Journal of Mathematical Modeling 2345-394X 3 2 2016 03 01 Spline Collocation for system of Fredholm and Volterra integro-differential equations 189 218 1502 EN Nehzat Ebrahimi Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Jalil Rashidinia Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran Journal Article 2016 01 19 The spline collocation method  is employed to solve a system of linear and nonlinear Fredholm and Volterra integro-differential equations. The solutions are collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. We obtain the unique solution for linear and nonlinear system $(nN+3n)\times(nN+3n)$ of integro-differential equations. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. At the end, some examples are presented to illustrate the ability and simplicity of the method. https://jmm.guilan.ac.ir/article_1502_5ff1cb86a8e40f42be09726a39ae2f0d.pdf