Numerical solution of functional integral equations by using B-splines

Subject Areas : History and biography

R. Firouzdor ¹ , A. Heidarnejad Khoob ² , Z. Mollaramezani ³

1 - Department of Mathematics, Islamic Azad University and Young Researcher Club, Central Tehran Branch, Tehran, Iran
2 - Department of Mathematics, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Payameh noor university, New City Hashgerd, Hashgerd, Iran

Received: 2012-01-01 Accepted : 2012-01-01 Published : 2012-03-01

Keywords: Lagrange interpolation, B-spline functions, Functional integral equation,

Abstract :

This paper describes an approximating solution, based on Lagrange interpolationand spline functions, to treat functional integral equations of Fredholm type and Volterra type.This method can be extended to functional differential and integro-differential equations. Forshowing efficiency of the method we give some numerical examples.

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