Formulation of Finite Element Method for 1-D
Poisson Equation

Mrs. Pallavi P. Chopade; Dr. Prabha S. Rastogi

doi:https://doi.org/10.14445/22315373/IJMTT-V56P548

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 5 | Year 2018 | Article Id. IJMTT-V56P548 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P548

Formulation of Finite Element Method for 1-D Poisson Equation

Mrs. Pallavi P. Chopade, Dr. Prabha S. Rastogi

Citation :

Mrs. Pallavi P. Chopade, Dr. Prabha S. Rastogi, "Formulation of Finite Element Method for 1-D Poisson Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 5, pp. 360-365, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P548

Abstract

This paper focuses on the use of solving electrostatic one-dimension Poisson differential equation boundary-value problem. Sample problems that introduce the finite element methods are presented here and evaluated with analytical and numerical approaches. These approaches are developed in MATLAB and their solutions are compared and verified. Error analysis is also presented in this paper where the numerical error is compute dusing two different definitions namely the percent error and the error based on the L2 norm. this numerical error is reduced by increasing in number of elements.

Keywords

Boundary-value problems, Differential equation, Electrostatics, Finite Element Method, Poisson’s equation.

References

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