Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations

Author:

Cakir Musa1,Gunes Baransel1

Affiliation:

1. Department of Mathematics , Van Yuzuncu Yil University , Van , Turkey

Abstract

Abstract In this study, singularly perturbed mixed integro-differential equations (SPMIDEs) are taken into account. First, the asymptotic behavior of the solution is investigated. Then, by using interpolating quadrature rules and an exponential basis function, the finite difference scheme is constructed on a uniform mesh. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Some numerical examples are solved, and numerical outcomes are obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference43 articles.

1. O. Abu Arqub, An iterative method for solving fourth-order boundary value problems of mixed type integro-differential equations, J. Comput. Anal. Appl. 18 (2015), no. 5, 857–874.

2. M. Al-Smadi, O. Abu Arqub and S. Momani, A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations, Math. Probl. Eng. 2013 (2013), Article ID 832074.

3. G. M. Amiraliyev, M. E. Durmaz and M. Kudu, Uniform convergence results for singularly perturbed Fredholm integro-differential equation, J. Math. Anal. 9 (2018), no. 6, 55–64.

4. G. M. Amiraliyev, M. E. Durmaz and M. Kudu, Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation, Bull. Belg. Math. Soc. Simon Stevin 27 (2020), no. 1, 71–88.

5. G. M. Amiraliyev and Y. D. Mamedov, Difference schemes on the uniform mesh for singular perturbed pseudo-parabolic equations, Turkish J. Math. 19 (1995), no. 3, 207–222.

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