A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations With Two Integral Boundary Conditions
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Date
2023
Authors
Journal Title
Journal ISSN
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Publisher
Pleiades Publishing inc
Abstract
This paper purposes to present a new discrete scheme for the singularly perturbed semilinear Volterra-Fredholm integro-differential equation including two integral boundary conditions. Initially, some analytical properties of the solution are given. Then, using the composite numerical integration formulas and implicit difference rules, the finite difference scheme is established on a uniform mesh. Error approximations for the approximate solution and stability bounds are investigated in the discrete maximum norm. Finally, a numerical example is solved to show epsilon-uniform convergence of the suggested difference scheme.
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Keywords
Discrete Scheme, Error Bounds, Integral Boundary Condition, Integro-Differential Equation, Singular Perturbation
Turkish CoHE Thesis Center URL
WoS Q
Q4
Scopus Q
Q3
Source
Volume
63
Issue
12
Start Page
2513
End Page
2527