Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method

Subject Areas : Applied Mathematics

Ahamd Shahsavaran ¹ , Akbar Shahsavaran ²

1 - Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.
2 - Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.

Received: 2013-05-20 Accepted : 2013-12-06 Published : 2015-05-01

Keywords: Nonlinear Fredholm Volterra integral equation, Haar wavelet, Haar coecient matrix, Block-Pulse Function, Collocation points,

Abstract :

In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applicability of the technique.