Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø., Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø. (2013). Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method. Theory of Approximation and Applications, 9(2), 135-149.

Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø., Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø. (2013). 'Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method', Theory of Approximation and Applications, 9(2), pp. 135-149.

Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø., Ø´Ù‡Ø³ÙˆØ§Ø±Ø§Ù†, Ø. Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method. Theory of Approximation and Applications, 2013; 9(2): 135-149.

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

^{}Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.

Abstract

In this work, we present a computational method for solving second kind nonlinear Fredholm Volterra integral equations which is based on the use of Haar wavelets. These functions together with the collocation method are then utilized to reduce the Fredholm Volterra integral equations to the solution of algebraic equations. Finally, we also give some numerical examples that shows validity and applicability of the technique.

Article Title [Persian]

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

Authors [Persian]

Ahmad Shahsavaran; Akbar Shahsavaran

^{}Islamic Azad University, Boroujerd Branch, Boroujerd, Iran.

Abstract [Persian]

In this work, we present a computational method for solving second kind nonlinear Fredholm Volterra integral equations which is based on the use of Haar wavelets. These functions together with the collocation method are then utilized to reduce the Fredholm Volterra integral equations to the solution of algebraic equations. Finally, we also give some numerical examples that shows validity and applicability of the technique.

Keywords [Persian]

Nonlinear Fredholm Volterra integral equationØŒ Haar waveletØŒ Haar coecient matrixØŒ Block-Pulse FunctionØŒ Collocation points

References

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