Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Dalir, Nemat. 2014. Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498601
Modern Language Association (MLA)
Dalir, Nemat. Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-498601
American Medical Association (AMA)
Dalir, Nemat. Modified Decomposition Method with New Inverse Differential Operators for Solving Singular Nonlinear IVPs in First- and Second-Order PDEs Arising in Fluid Mechanics. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-498601
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498601