On the Solution Procedure of Partial Differential Equation (PDE) with the Method of Lines (MOL) Using Crank-Nicholson Method (CNM)
American Journal of Applied Mathematics
Volume 6, Issue 1, February 2018, Pages: 1-7
Received: Dec. 28, 2017; Accepted: Jan. 16, 2018; Published: Feb. 12, 2018
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Authors
Mohammad Roknujjaman, Department of Computer Science and Engineering, Northern College Bangladesh, Dhaka, Bangladesh
Mohammad Asaduzzaman, Department of Mathematics, Islamic University (IU), Kushtia, Bangladesh
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Abstract
In this paper we used the method of lines (MOL) as a solution procedure for solving partial differential equation (PDE). The range of applications of the MOL has increased dramatically in the last few years; nevertheless, there is no introductory to initiate a beginner to the method. This Paper illustrates the application of the MOL using Crank-Nicholson method (CNM) for numerical solution of PDE together with initial condition and Dirichlet’s Boundary Condition. The implementation of this solutions is done using Microsoft office excel worksheet or spreadsheet, Matlab programming language. Finally, here we analysis the particular solution and numerical solution of Laplace equation obtained by MOL along with CNM.
Keywords
Dirichlet’s Boundary Condition, Laplace Equation, MOL, PDE, CNM
To cite this article
Mohammad Roknujjaman, Mohammad Asaduzzaman, On the Solution Procedure of Partial Differential Equation (PDE) with the Method of Lines (MOL) Using Crank-Nicholson Method (CNM), American Journal of Applied Mathematics. Vol. 6, No. 1, 2018, pp. 1-7. doi: 10.11648/j.ajam.20180601.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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