An Effective Numerical Method for Singularly Perturbed Nonlocal Boundary Value Problem on Bakhvalov Mesh
DOI:
https://doi.org/10.26713/jims.v11i3-4.1088Keywords:
Singular perturbation, Finite difference scheme, Bakhvalov mesh, Uniformly convergence, Integral boundary conditionAbstract
The present study focuses on obtaining an absolutely accurate computational solution of a linear singularly perturbed problem with integral boundary condition on Bakhvalov mesh. A finite difference scheme was constructed and the approximation of the presented problem was obtained. Based on the \(\varepsilon\)-perturbation parameter, it was established that the first-order uniform convergence was within the discrete maximum norm. A numerical experiment was performed in order to demonstrate the effectiveness and accuracy of the presented method. The results were confirmed through the relevant table and figures.
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