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http://dx.doi.org/10.12941/jksiam.2018.22.289

ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS  

AZ-ZO'BI, EMAD A. (DEPARTMENT OF MATHEMATICS AND STATISTICS, MUTAH UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.22, no.4, 2018 , pp. 289-294 More about this Journal
Abstract
In this work, a recently developed semi-analytic technique, so called the residual power series method, is generalized to process higher-dimensional linear and nonlinear partial differential equations. The solutions obtained takes a form of an infinite power series which can, in turn, be expressed in a closed exact form. The results reveal that the proposed generalization is very effective, convenient and simple. This is achieved by handling the (m+1)-dimensional Burgers equation.
Keywords
(m+1)-dimensional nonlinear partial differential equations; generalized residual power series method; convergence analysis; exact solution; burgers equation;
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