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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 |
Files in This Item:
File | Description | Size | Format | |
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2022_ICMC_JMohapatra_AnImproved.pdf | 2.43 MB | Adobe PDF | View/Open |
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