An Exponential Finite Difference Method Based on Padé Approximation

Year 2017, Volume: 13 Issue: 1, 71 - 80, 29.03.2017

Bilge İnan

https://doi.org/10.18466/cbayarfbe.302644

Cited By: 1

Abstract

This paper reports a
new technique of forming improved exponential finite difference solution of the
one dimensional Burgers' equation.  The
technique is called explicit exponential finite difference method based on Padé
approximation. The main purpose of the paper is improve the exponential finite
difference method and define an alternative method for the solution of the
Burgers' equation. The advantage of the present method is reduced the
computation cost to other exponential methods for solving the Burgers'
equation. Accuracy of the present method is demonstrated by solving test
problems and comparing numerical results with exact solution for different
values of Reynolds' number.

Keywords

Burgers' equation, Exponential finite difference method, Explicit exponential finite difference method, Finite difference methods, Padé approximation

References

• Abassy, T.A; El-Tawil, M.A; El-Zoheiry H. Exact Solutions of Some Nonlinear Partial Differential Equations Using the Variational Iteration Method Linked with Laplace Transforms and the Padé Technique. Computers and Mathematics with Applications. 2007; 54, 940-954.