Improvement of the Modified Decomposition Method for Handling Third-Order Singular Nonlinear Partial Differential Equations with Applications in Physics | Zendy

Nemat Dalir | Zendy

Open Access

Improvement of the Modified Decomposition Method for Handling Third-Order Singular Nonlinear Partial Differential Equations with Applications in Physics

Author(s) -

Nemat Dalir

Publication year - 2014

Publication title -

international journal of partial differential equations

Language(s) - English

Resource type - Journals

eISSN - 2356-7082

pISSN - 2314-6524

DOI - 10.1155/2014/607259

Subject(s) - partial differential equation , nonlinear system , singular value decomposition , third order , inverse problem , differential equation , mathematics , singular solution , inverse , decomposition , computer science , mathematical analysis , algorithm , physics , geometry , ecology , philosophy , theology , quantum mechanics , biology

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

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