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

الموضوعات :

Ahamd Shahsavaran ¹ , Akbar Shahsavaran ²

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

تاريخ الإرسال : 10 الإثنين , رجب, 1434 تاريخ التأكيد : 03 الجمعة , صفر, 1435 تاريخ الإصدار : 12 الجمعة , رجب, 1436

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

ملخص المقالة :

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.