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• W3179331276 abstract "In this paper, we consider one- and two-dimensional singularly perturbed parabolic reaction-diffusion problems. We propose a parameter-uniform numerical scheme to solve these problems. The continuous problem is first discretized in the space variable using a fitted operator finite difference method. The partial differential equation is thus transformed into a system of initial value problems which are then integrated in time with the Crank–Nicolson finite difference method. A convergence analysis shows that the scheme is second-order ε-uniform convergent in space and time. Richardson extrapolation of the space variable results in a fourth order ε-uniform convergence. Numerical experiments on two test examples confirm the theoretical findings." @default.
• W3179331276 created "2021-07-19" @default.
• W3179331276 creator A5057914732 @default.
• W3179331276 creator A5082484176 @default.
• W3179331276 date "2021-07-30" @default.
• W3179331276 modified "2023-10-05" @default.
• W3179331276 title "A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines" @default.
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• W3179331276 doi "https://doi.org/10.1080/00207160.2021.1954621" @default.
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