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Efficient BTCS + CTCS Finite Difference Scheme for General Linear Second Order PDE
Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
- 1 Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
- 2 Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
- 3 Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal
Journal of Electromagnetic Analysis and Applications·Volume 13 (2021)·Pages 135–143·Published 19 October 2021·DOI10.4236/jemaa.2021.1310010
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Abstract
This work deals with a second order linear general equation with partial derivatives for a two-variable function. It covers a wide range of applications. This equation is solved with a finite difference hybrid method: BTCS + CTCS. This scheme is simple, precise, and economical in terms of time and space occupancy in memory.
KeywordsFinite DifferenceBCTS + CTCSUsmani’s AlgorithmTridiagonal MatrixTelegraph Equation
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