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Article

Approximate Solutions for Coupled Systems of Nonlinear PDEs Using the Reduced Differential Transform Method

by
Mahmoud Rawashdeh
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, 22110, Jordan
Math. Comput. Appl. 2014, 19(2), 161-171; https://doi.org/10.3390/mca19020161
Published: 1 August 2014
Versions Notes

Abstract

In this paper, we are concerned with finding approximate solutions to systems of nonlinear PDEs using the Reduced Differential Transform Method (RDTM). We examine this method to obtain approximate numerical solutions for two different types of systems of nonlinear partial differential equations, such as the two- component KdV evolutionary system of order two and the Broer-Kaup (BK) system of equations. The theoretical analysis of the RDTM is investigated for these systems of equations and is calculated in the form of power series with easily computable terms. Illustrative examples will be presented to support the proposed analysis.
Keywords: reduced differential transform method (RDTM); KdV evolutionary system; Broer-Kaup (BK) equations reduced differential transform method (RDTM); KdV evolutionary system; Broer-Kaup (BK) equations

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MDPI and ACS Style

Rawashdeh, M. Approximate Solutions for Coupled Systems of Nonlinear PDEs Using the Reduced Differential Transform Method. Math. Comput. Appl. 2014, 19, 161-171. https://doi.org/10.3390/mca19020161

AMA Style

Rawashdeh M. Approximate Solutions for Coupled Systems of Nonlinear PDEs Using the Reduced Differential Transform Method. Mathematical and Computational Applications. 2014; 19(2):161-171. https://doi.org/10.3390/mca19020161

Chicago/Turabian Style

Rawashdeh, Mahmoud. 2014. "Approximate Solutions for Coupled Systems of Nonlinear PDEs Using the Reduced Differential Transform Method" Mathematical and Computational Applications 19, no. 2: 161-171. https://doi.org/10.3390/mca19020161

APA Style

Rawashdeh, M. (2014). Approximate Solutions for Coupled Systems of Nonlinear PDEs Using the Reduced Differential Transform Method. Mathematical and Computational Applications, 19(2), 161-171. https://doi.org/10.3390/mca19020161

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