Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran
Abstract
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 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.
Ebrahimi, N. and Rashidinia, J. (2016). Spline Collocation for system of Fredholm and Volterra integro-differential equations. Journal of Mathematical Modeling, 3(2), 189-218.
MLA
Ebrahimi, N. , and Rashidinia, J. . "Spline Collocation for system of Fredholm and Volterra integro-differential equations", Journal of Mathematical Modeling, 3, 2, 2016, 189-218.
HARVARD
Ebrahimi, N., Rashidinia, J. (2016). 'Spline Collocation for system of Fredholm and Volterra integro-differential equations', Journal of Mathematical Modeling, 3(2), pp. 189-218.
CHICAGO
N. Ebrahimi and J. Rashidinia, "Spline Collocation for system of Fredholm and Volterra integro-differential equations," Journal of Mathematical Modeling, 3 2 (2016): 189-218,
VANCOUVER
Ebrahimi, N., Rashidinia, J. Spline Collocation for system of Fredholm and Volterra integro-differential equations. Journal of Mathematical Modeling, 2016; 3(2): 189-218.