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

Authors

nehzat ebrahimi

jalil rashidinia

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 $(nn+3n)times(nn+3n)$ 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.

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Journal title:
journal of mathematical modeling

Publisher: university of guilan

ISSN 2345-394X

volume 3

issue 2 2016

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