Improvement of the Modified Decomposition Method for Handling Third-Order Singular Nonlinear Partial Differential Equations with Applications in Physics. (5th November 2014)

• Record Type: Journal Article
• Authors: Dalir, Nemat
• Other Names: Yannacopoulos Athanasios N. Academic Editor.
• Is Part Of: International journal of partial differential equations. Volume 2014(2014)
• Publication Date: 2014-11-05
• Subjects: Differential equations, Partial -- Periodicals; Differential equations, Partial; Periodicals; 515.353
• DOI: 10.1155/2014/607259
• Languages: English
• ISSNs: 2356-7082

Abstract

Abstract : The modified decomposition method (MDM) is improved by introducing new inverse differential operators to adapt the MDM for handling third-order singular nonlinear partial differential equations (PDEs) arising in physics and mechanics. A few case-study singular nonlinear initial-value problems (IVPs) of third-order PDEs are presented and solved by the improved modified decomposition method (IMDM). The solutions are compared with the existing exact analytical solutions. The comparisons show that the IMDM is effectively capable of obtaining the exact solutions of the third-order singular nonlinear IVPs.