The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions
Year: 2014
Author: S. Salman Nourazar, Nemat Dalir, S. Salman Nourazar
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 4 : pp. 357–372
Abstract
New developed inverse differential operators incorporated into the semianalytical treatment of the modified decomposition method (MDM) are used to solve the systems of first and second-order singular nonlinear partial differential equations (PDEs) with initial conditions arising in physics. The new proposed method is called the improved modified decomposition method (IMDM), and is used to the treatment of a few case study initial-value problems. The results obtained by the IMDM are in full agreement with the existing exact analytical solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n4.6
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 4 : pp. 357–372
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Systems of singular nonlinear PDEs