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Efficient BTCS + CTCS Finite Difference Scheme for General Linear Second Order PDE

DOI: 10.4236/jemaa.2021.1310010, PP. 135-143

Keywords: Finite Difference, BCTS + CTCS, Usmani’s Algorithm, Tridiagonal Matrix, Telegraph Equation

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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.

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