spline collocation for system of fredholm and volterra integro-differential equations
چکیده
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.