A reliable analytic study for higher-dimensional telegraph equation
Volume 18, Issue 4, pp 423--429
http://dx.doi.org/10.22436/jmcs.018.04.04
Publication Date: December 07, 2018
Submission Date: April 12, 2018
Revision Date: November 11, 2018
Accteptance Date: November 22, 2018
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Authors
Emad Az-Zo'bi
- Department of Mathematics and Statistics, Mutah University, P. O. Box 7, Al Karak 61710, Jordan.
Abstract
In this study, we propose a developed semi-analytic technique, so called the
generalized residual power series method, to process higher-dimensional
linear and nonlinear partial differential equations. The obtained solution
is expressed in a form of rapidly convergent power series with easily
computable coefficients. Solution can, in turn, be termed in an exact closed
form. The results indicate the reliability, efficiency, and simplicity of the
proposed scheme. This is achieved by handling the \((m+1)\)-dimensional
hyperbolic telegraph equation.
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ISRP Style
Emad Az-Zo'bi, A reliable analytic study for higher-dimensional telegraph equation, Journal of Mathematics and Computer Science, 18 (2018), no. 4, 423--429
AMA Style
Az-Zo'bi Emad, A reliable analytic study for higher-dimensional telegraph equation. J Math Comput SCI-JM. (2018); 18(4):423--429
Chicago/Turabian Style
Az-Zo'bi, Emad. "A reliable analytic study for higher-dimensional telegraph equation." Journal of Mathematics and Computer Science, 18, no. 4 (2018): 423--429
Keywords
- Generalized residual power series method
- convergence analysis
- exact solution
- higher-dimensional partial differential equation
- telegraph equation
MSC
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