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A new study on first-order fuzzy Fredholm–Volterra integro-differential equations by Jacobi polynomials and collocation methods

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Abstract

In this paper, the Jacobi polynomials and the collocation methods for solving first-order fuzzy linear Fredholm–Volterra integro-differential equation of the second kind under the generalized \(H\)-differentiability are introduced. The existence and uniqueness of the solution and convergence of the proposed methods are proved in details. Finally an example shows the accuracy of these methods.

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Acknowledgments

The author would like to express her sincere appreciation to the Department of Mathematics, Islamic Azad University, Qazvin Branch for their cooperation.

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  1. Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran

    Sh. S. Behzadi

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  1. Sh. S. Behzadi
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Correspondence to Sh. S. Behzadi.

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Communicated by T. Allahviranloo.

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Behzadi, S.S. A new study on first-order fuzzy Fredholm–Volterra integro-differential equations by Jacobi polynomials and collocation methods. Soft Comput 19, 421–429 (2015). https://doi.org/10.1007/s00500-014-1261-5

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  • DOI: https://doi.org/10.1007/s00500-014-1261-5

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