A Fitted Second-Order Difference Method for a Parameterized Problem with Integral Boundary Condition Exhibiting Initial Layer

In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is O ( N - 2 ln N ) uniform convergent on Shishkin meshes. Numerical results are also presented.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2021-06, Vol.18 (3), Article 106
Main Authors: Kudu, Mustafa, Amirali, Ilhame, Amiraliyev, Gabil M.
Format: Article
Language:English
Subjects:
Boundary conditions
Integrals
Mathematics
Mathematics and Statistics
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Summary:In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is O ( N - 2 ln N ) uniform convergent on Shishkin meshes. Numerical results are also presented.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01758-w