Reduced differential transform method for solving parabolic-like and hyperbolic-like equations

Reduced differential transform method for solving parabolic-like and hyperbolic-like equations In this paper, we present the exact solutions of the partial differential equations in different dimensions with variable coefficients by using reduced differential transform method (RDTM). The advantage of this method is that, it solves the problem directly without the need for linearization, perturbation, or any other transformation, gives the solution in the form of convergent power series with elegantly computed components. Therefore, the solution procedure of the RDTM is simpler than other traditional methods. This method can successfully be applied to solve the heat-like and wave-like equations with variable coefficients. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png SeMA Journal Springer Journals

Reduced differential transform method for solving parabolic-like and hyperbolic-like equations

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Publisher
Springer Milan
Copyright
Copyright © 2016 by Sociedad Española de Matemática Aplicada
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
2254-3902
eISSN
2281-7875
D.O.I.
10.1007/s40324-016-0101-1
Publisher site
See Article on Publisher Site

Abstract

In this paper, we present the exact solutions of the partial differential equations in different dimensions with variable coefficients by using reduced differential transform method (RDTM). The advantage of this method is that, it solves the problem directly without the need for linearization, perturbation, or any other transformation, gives the solution in the form of convergent power series with elegantly computed components. Therefore, the solution procedure of the RDTM is simpler than other traditional methods. This method can successfully be applied to solve the heat-like and wave-like equations with variable coefficients.

Journal

SeMA JournalSpringer Journals

Published: Dec 14, 2016

References

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