A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations

The goal of this study is to introduce a second-order computational method to solve Volterra-Fredholm integro-differential equations involving boundary layers. To solve numerically, we establish a finite difference scheme on the Shishkin mesh using a composite trapezoidal formulae for the integral p...

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Bibliographic Details
Published in:	Journal of applied mathematics & computing Vol. 69; no. 5; pp. 3601 - 3624
Main Author:	Durmaz, Muhammet Enes
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-10-2023 Springer Nature B.V
Subjects:	Basis functions Boundary layers Computational Mathematics and Numerical Analysis Convergence Differential equations Finite difference method Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Original Research Quadratures Theory of Computation Finite difference scheme Uniform convergence Shishkin mesh 65R20 Singular perturbation 65L20 Integro-differential equation 65L12 65L11
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