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ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS
EMAD A. AZ-ZO’BI 한국산업응용수학회 2018 Journal of the Korean Society for Industrial and A Vol.22 No.4
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.