A new analytical technique to solve Fredholm's integral equations

Authors:
Saeid Abbasbandy;E. Shivanian
Affiliations:
Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran 34149-16818;Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran 34149-16818
Venue:
Numerical Algorithms
Year:
2011

Citing 0
Cited 2

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Abstract

This paper shows that the homotopy analysis method, the well-known method to solve ODEs and PDEs, can be applied as well as to solve linear and nonlinear integral equations with high accuracy. Comparison of the present method with Adomian decomposition method (ADM), which is well-known in solving integral equations, reveals that the ADM is only special case of the present method. Also, some linear and nonlinear examples are presented to show high efficiency and illustrate the steps of the problem resolution.