The particular solutions of some types of EulerCauchy ODE using the differential transform method
Volume 12, Issue 3, pp 146151
http://dx.doi.org/10.22436/jnsa.012.03.02
Publication Date: November 30, 2018
Submission Date: July 21, 2018
Revision Date: August 09, 2018
Accteptance Date: September 22, 2018

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Authors
Meshari Alesemi
 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
M. A. ElMoneam
 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
Bader S. Bader
 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
E. S. Aly
 Mathematics Department, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
Abstract
In this paper, we apply the differential transform method to find the
particular solutions of some types of EulerCauchy ordinary differential
equations. The first model is a special case of the nonhomogeneous \(n^{\rm th}\) order ordinary differential equations of EulerCauchy equation. The
second model under consideration in this paper is the nonhomogeneous second
order differential equation of EulerCauchy equation with a bulge function.
This study showed that this method is powerful and efficient in finding the
particular solution for EulerCauchy ODE and capable of reducing the size of
calculations comparing with other methods.
Share and Cite
ISRP Style
Meshari Alesemi, M. A. ElMoneam, Bader S. Bader, E. S. Aly, The particular solutions of some types of EulerCauchy ODE using the differential transform method, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 3, 146151
AMA Style
Alesemi Meshari, ElMoneam M. A., Bader Bader S., Aly E. S., The particular solutions of some types of EulerCauchy ODE using the differential transform method. J. Nonlinear Sci. Appl. (2019); 12(3):146151
Chicago/Turabian Style
Alesemi, Meshari, ElMoneam, M. A., Bader, Bader S., Aly, E. S.. "The particular solutions of some types of EulerCauchy ODE using the differential transform method." Journal of Nonlinear Sciences and Applications, 12, no. 3 (2019): 146151
Keywords
 Differential equations
 differential transform method
 EulerCauchy equations
MSC
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