A method for generating approximate similarity solutions of nonlinear partial differential equations
المؤلف | Iqbal, Mazhar |
المؤلف | Mustafa, M. T. |
المؤلف | Siddiqui, Azad A. |
تاريخ الإتاحة | 2024-07-31T11:40:13Z |
تاريخ النشر | 2014 |
اسم المنشور | Abstract and Applied Analysis |
المعرّف | http://dx.doi.org/10.1155/2014/105414 |
الاقتباس | Iqbal, M., Mustafa, M. T., & Siddiqui, A. A. (2014). A method for generating approximate similarity solutions of nonlinear partial differential equations. In Abstract and Applied Analysis (Vol. 2014, No. 1, p. 105414). Hindawi Publishing Corporation. |
الرقم المعياري الدولي للكتاب | 1085-3375 |
الملخص | 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. |
اللغة | en |
الناشر | Hindawi Publishing Corporation |
الموضوع | gas flow porous medium |
النوع | Article |
رقم المجلد | 2014 |
ESSN | 1687-0409 |
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