Título
A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term.
Autor(es)
Palabras clave
Fredholm integro-differential equation
Singular perturbation
Finite-difference
Shishkin mesh
Uniform convergence
Discontinuous source term
Clasificación UNESCO
Fecha de publicación
2023
Editor
Elsevier
Citación
Ajay Singh Rathore, Vembu Shanthi, Higinio Ramos, A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term, Applied Numerical Mathematics, Volume 185, 2023, Pages 88-100, ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2022.11.019. (https://www.sciencedirect.com/science/article/pii/S0168927422003051)
Resumen
[EN]In this article, a singularly perturbed second-order Fredholm integro-differential equation with a discontinuous source term is examined. An exponentially-fitted numerical method on a Shishkin mesh is applied to solve the problem. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. Some numerical results are given, which validate the theoretical results.
URI
ISSN
0168-9274
DOI
10.1016/j.apnum.2022.11.019
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