ITM Web Conf.
Volume 13, 20172nd International Conference on Computational Mathematics and Engineering Sciences (CMES2017)
|Number of page(s)||13|
|Published online||02 October 2017|
A Practical Method for Analytical Evaluation of Approximate Solutions of Fisher's Equations
Department of Mathematics, Faculty of Art and Sciences, Manisa Celal Bayar University, 45140 Manisa Turkey.
In this article, a framework is developed to get more approximate solutions to nonlinear partial differential equations by applying perturbation iteration technique. This technique is modified and improved to solve nonlinear diffusion equations of the Fisher type. Some problems are investigated to illustrate the efficiency of the method. Comparisons between the new results and the solutions obtained by other techniques prove that this technique is highly effective and accurate in solving nonlinear problems. Convergence analysis and error estimate are also provided by using some related theorems. The basic ideas indicated in this work are anticipated to be further developed to handle nonlinear models.
© The authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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