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A new analytical technique to solve Fredholm’s integral equations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran

    Saeid Abbasbandy & E. Shivanian

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  1. Saeid Abbasbandy
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  2. E. Shivanian
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Correspondence to Saeid Abbasbandy.

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Abbasbandy, S., Shivanian, E. A new analytical technique to solve Fredholm’s integral equations. Numer Algor 56, 27–43 (2011). https://doi.org/10.1007/s11075-010-9372-2

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  • DOI: https://doi.org/10.1007/s11075-010-9372-2

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