ON THE STABILITY OF MODIFIED CRANK-NICOLSON METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

B. J. OMOWO; C. E. ABHULIMEN

doi:10.6084/m9.figshare.13664309

ON THE STABILITY OF MODIFIED CRANK-NICOLSON METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

B. J. OMOWO Department of Mathematics, Nasarawa State University, Keffi, Nigeria
C. E. ABHULIMEN Department of Mathematics, Ambrose Ali University, Ekpoma, Nigeria

DOI: https://doi.org/10.6084/m9.figshare.13664309

Abstract

In this paper, we investigate the stability of Modified Crank-Nicolson method for solving one dimensional Parabolic equation knowing that finite difference solution of partial differential equations must satisfy the requirement of stability, if they are to be reasonably accurate. We examined it with the Von-Neumann scheme using the Fourier series methods and our result is confirmed with examples.

Published

2021-02-02

How to Cite

OMOWO , B. J., & ABHULIMEN , C. E. (2021). ON THE STABILITY OF MODIFIED CRANK-NICOLSON METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 6(2), 862 - 873. https://doi.org/10.6084/m9.figshare.13664309

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Issue

Vol 6 No 2 (2020)

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Articles

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