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

B.J. OMOWO; C.E. ABHULIMEN

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Aug 25, 2023

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Partial differential equation Finite difference method Crank-Nicolson Method Stability Modifed Crank-Nicolson Method Parabolic Equations

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Vol. 6 No. 2 (2020)

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B.J. OMOWO

Department of Mathematics, Nasarawa State University, Keffi, Nigeria

C.E. ABHULIMEN

Department of Mathematics, Ambrose Ali University, Ekpoma, Nigeria

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 diferential 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

International Journal of Mathematical Sciences and Optimization: Theory and Applications
Journal / International Journal of Mathematical Sciences and Optimization: Theory and Applications / Vol. 6 No. 2 (2020) / Articles

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

B.J. OMOWO

C.E. ABHULIMEN

Abstract

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B.J. OMOWO

C.E. ABHULIMEN

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