Journal of Modern Physics

Volume 13, Issue 12 (December 2022)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.97  Citations  

Exact Inversion of Pentadiagonal Matrix for Semi-Analytic Solution of 2D Poisson Equation

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DOI: 10.4236/jmp.2022.1312094    116 Downloads   517 Views  
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ABSTRACT

This work essentially consists in inverting in an exact, explicit, and original way the pentadiagonal Toeplitz matrix or tridiagonal block matrix resulting from the discretization of the two-dimensional Laplace operator. This method is an algorithm facilitating the resolution of a large number of problems governed by PDEs involving the Laplacian in two dimensions. It guarantees high precision and high efficiency in solving various differential equations.

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Gueye, S. (2022) Exact Inversion of Pentadiagonal Matrix for Semi-Analytic Solution of 2D Poisson Equation. Journal of Modern Physics, 13, 1525-1529. doi: 10.4236/jmp.2022.1312094.

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