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• W4313596530 abstract "We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain. The problem is numerically solved using the upwind difference method on an appropriately defined Shishkin-Bakhvalov mesh. At the point of discontinuity, a three-point difference scheme is used. A convergence analysis is given and the method is shown to be first-order uniformly convergent with respect to the perturbation parameters. The numerical results presented in the paper confirm our theoretical results of first-order convergence. Summing up: • The Shishkin-Bakhvalov mesh is graded in the layer region and uniform in the outer region as shown in the graphical abstract. • The method presented here has uniform convergence of order one in the supremum norm. • The numerical orders of convergence obtained in numerical examples with Shishkin- Bakhvalov mesh are better than those for Shishkin mesh." @default.
• W4313596530 created "2023-01-06" @default.
• W4313596530 creator A5041497618 @default.
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• W4313596530 date "2023-01-01" @default.
• W4313596530 modified "2023-10-03" @default.
• W4313596530 title "A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data" @default.
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• W4313596530 doi "https://doi.org/10.1016/j.mex.2023.102004" @default.
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