A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters
Kumar, Kamalesh 1Chakravarthy, P. Pramod 1Ramos, Higinio 2Vigo-Aguiar, Jesus2
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作者信息
1. Visvesvaraya Natl Inst Technol
2. Univ Salamanca
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Abstract
This article presents a stable finite difference approach for the numerical approximation of singularly perturbed differential-difference equations (SPDDEs). The proposed scheme is oscillation-free and much accurate than conventional methods on a uniform mesh. Error estimates show that the scheme is linear convergent in space and time variables. By using the Richardson extrapolation technique, the obtained results are extrapolated in order to get better approximations. Some numerical examples are taken from literature to validate the theory, showing good performance of the proposed method. (c) 2020 Published by Elsevier B.V.
NSTL
Elsevier