Formulation of Finite Difference Method Algorithm for solution of One Dimensional Systems


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Authors

  • Pallavi P. Chopade Department of Mathematics, Shri J.J.T. University, Jhunjhunu, Rajasthan, India
  • Prabha S. Rastogi Department of Mathematics, Shri J.J.T. University, Jhunjhunu, Rajasthan, India

Keywords:

Differential equation, Dirichlet boundary condition, Finite Difference method, Laplace equation, Poisson equation

Abstract

In this paper, algorithm for effective numerical method (finite difference method) is designed for the solution of one dimensional systems (Laplace equation). Finite Difference method with Dirichlet boundary conditions is used to obtain the solutions of differential equations. We have solved one dimensional Laplace equation with analytical and numerical approach. These approaches are developed in MATLAB and their solutions are compared and verified for different step size.

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Published

15-09-2018

How to Cite

Pallavi P. Chopade, & Prabha S. Rastogi. (2018). Formulation of Finite Difference Method Algorithm for solution of One Dimensional Systems. International Journal of Mathematics And Its Applications, 6(3), 341–347. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/388

Issue

Vol. 6 No. 3 (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.