Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics. (19th June 2014)

• Record Type: Journal Article
• Authors: Dalir, Nemat
• Other Names: Hernandez-Lerma Onesimo Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2014(2014)
• Publication Date: 2014-06-19
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2014/793685
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Singular nonlinear initial-value problems (IVPs) in first-order and second-order partial differential equations (PDEs) arising in fluid mechanics are semianalytically solved. To achieve this, the modified decomposition method (MDM) is used in conjunction with some new inverse differential operators. In other words, new inverse differential operators are developed for the MDM and used with the MDM to solve first- and second-order singular nonlinear PDEs. The results of the solutions by the MDM together with new inverse operators are compared with the existing exact analytical solutions. The comparisons show excellent agreement.