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
Issue
Vol 6 No 2 (2020)
Section
Articles

Copyright (c) 2021 B. J. OMOWO , C. E. ABHULIMEN

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