Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/3912
Title: An Improved Numerical Scheme for Semilinear Singularly Perturbed Parabolic Delay Differential Equations
Authors: Mohapatra, J.
Priyadarshana, S.
Keywords: Singular perturbation
Convection-diffusion problem
Interior layers
Time delay
Richardson extrapolation
Issue Date: Jan-2023
Citation: 9th International Conference on Mathematics and Computing(ICMC), BITS Pilani, 6-8 January 2023
Abstract: This work proposes a more generalized numerical algorithm for delayed semilinear differential equations that are singularly perturbed in nature. After linearizing through the quasilinearization technique, a generalized θ-scheme is applied to deal with the time derivative term. The upwind scheme is applied to deal with the spatial derivative on layer resolving Shihskin type meshes which provides a uniform convergent result. The proposed scheme is also tested over a model with small space shifts (both negative and positive) and proved to be globally firstorder accurate. To illustrate the method’s efficiency, numerical results are verified through tables and figures.
Description: Copyright belongs to proceeding publisher
URI: http://hdl.handle.net/2080/3912
Appears in Collections:Conference Papers

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