Analytical approaches for the approximate solution of a nonlinear fractional ordinary differential equation
| Autor: | P. C. Ray, Rasajit Kumar Bera, K. C. Basak |
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| Rok vydání: | 2009 |
| Předmět: |
Examples of differential equations
Differential equation First-order partial differential equation Riccati equation Exact differential equation Applied mathematics Condensed Matter Physics Adomian decomposition method Universal differential equation Mathematical Physics Atomic and Molecular Physics and Optics Integrating factor Mathematics |
| Zdroj: | Physica Scripta. :014022 |
| ISSN: | 1402-4896 0031-8949 |
| DOI: | 10.1088/0031-8949/2009/t136/014022 |
| Popis: | The aim of the present analysis is to apply the Adomian decomposition method and He's variational method for the approximate analytical solution of a nonlinear ordinary fractional differential equation. The solutions obtained by the above two methods have been numerically evaluated and presented in the form of tables and also compared with the exact solution. It was found that the results obtained by the above two methods are in excellent agreement with the exact solution. Finally, a surface plot of the approximate solutions of the fractional differential equation by the above two methods is drawn for 0≤t≤2 and 1 |
| Databáze: | OpenAIRE |
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