A higher accuracy exponential finite difference method for the numerical solution of second order elliptic partial differential equations

P. K. Pandey

Abstract


In this article, we have developed a new exponential finite difference method of order four for the numerical solution of second order elliptic partial differential equations. We have presented the derivation and development of the method as well as have estimated the local truncation error in the method. Numerical examples are given to illustrate the performance of the method and its accuracy. The proposed method compares well with compact nine points fourth order method, it can be observed in numerical section of the article.

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How to Cite this Article:

P. K. Pandey, A higher accuracy exponential finite difference method for the numerical solution of second order elliptic partial differential equations, Journal of Mathematical and Computational Science, Vol 3, No 5 (2013), 1325-1334

Copyright © 2013 P. K. Pandey. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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