On Finding Exact and Approximate Solutions to Some PDEs Using the Reduced Differential Transform Method

Authors

Mahmoud Rawashdeh, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanFollow
Nazek A. Obeidat

Author Country (or Countries)

Jordan

Abstract

In this research article, we give analytic approximate solution to the Sharma Tasso Olver (STO) equation and exact solutions to both the Schrodinger equation and the Telegraph equation. Also, the approximate analytical and exact solutions we present in this paper are calculated in the form of power series with easily computable components. The obtained results are in a good agreement with the exact solutions. We present an algorithm called the Reduced Differential Transform Method (RDTM) to find approximate solution and we compare the results with the exact solutions. This method reduces significantly the numerical computations compare with the existing methods such as the perturbation technique, differential transform method (DTM) and the Adomian decomposition method (ADM).

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080510

Recommended Citation

Rawashdeh, Mahmoud and A. Obeidat, Nazek (2014) "On Finding Exact and Approximate Solutions to Some PDEs Using the Reduced Differential Transform Method," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 10.
DOI: http://dx.doi.org/10.12785/amis/080510
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/10