A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations
Joint Authors
Mustafa, M. T.
Iqbal, Mazhar
Siddiqui, Azad A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Standard application of similarity method to find solutions of PDEs mostly results in reduction to ODEs which are not easily integrable in terms of elementary or tabulated functions.
Such situations usually demand solving reduced ODEs numerically.
However, there are no systematic procedures available to utilize these numerical solutions of reduced ODE to obtain the solution of original PDE.
A practical and tractable approach is proposed to deal with such situations and is applied to obtain approximate similarity solutions to different cases of an initial-boundary value problem of unsteady gas flow through a semi-infinite porous medium.
American Psychological Association (APA)
Iqbal, Mazhar& Mustafa, M. T.& Siddiqui, Azad A.. 2014. A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033528
Modern Language Association (MLA)
Iqbal, Mazhar…[et al.]. A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033528
American Medical Association (AMA)
Iqbal, Mazhar& Mustafa, M. T.& Siddiqui, Azad A.. A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033528
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033528