NUMERICAL SOLUTIONS OF ONE DIMENSIONAL WAVE EQUATIONS USING THE CRANK-NICOLSON METHOD

SUNDAY, ABDUL, and UGWUOKE, ALOYSIUS and OCHEUJE, LEONARD PIUS and ENEMALI, PETER (2018) NUMERICAL SOLUTIONS OF ONE DIMENSIONAL WAVE EQUATIONS USING THE CRANK-NICOLSON METHOD. Asian Journal of Mathematics and Computer Research, 25 (2). pp. 106-132.

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Abstract

The description of Crank–Nicolson finite difference method for the numerical solution of hyperbolic partial differential equations, its numerical properties and its application to the one dimensional wave equation is presented in this project. The analysis of the method, i.e. consistency and stability was carried out and the method was found to be convergent. Numerical solutions of some wave equations were presented using MATLAB program, the results performed admirably when compared to the analytical solution.

Item Type: Article
Subjects: Article Paper Librarian > Mathematical Science
Depositing User: Unnamed user with email support@article.paperlibrarian.com
Date Deposited: 09 Jan 2024 05:08
Last Modified: 09 Jan 2024 05:08
URI: http://editor.journal7sub.com/id/eprint/2445

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