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Parameter Uniform Method for a Singularly Perturbed System of Delay Differential Equations of Reaction–Diffusion Type with Integral Boundary Conditions

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AbstractA class of singularly perturbed systems of delay differential equations of reaction–diffusion type with integral boundary conditions is considered. A finite difference scheme on an appropriate piecewise Shishkin mesh is… Click to show full abstract

AbstractA class of singularly perturbed systems of delay differential equations of reaction–diffusion type with integral boundary conditions is considered. A finite difference scheme on an appropriate piecewise Shishkin mesh is suggested to solve the problem. We prove that the finite difference method is of almost first order convergence. Error estimates are derived in the discrete maximum norm. Numerical experiments support the theoretical results.

Keywords: diffusion type; reaction diffusion; singularly perturbed; equations reaction; differential equations; delay differential

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2019

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