In this paper, He's variational iteration method is employed successfully for solving parabolic partial differential equations with Dirichlet boundary conditions. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not
The variational iteration method for solving Riesz fractional partial differential equations
โ Scribed by A. Elsaid
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 375 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, the variational iteration method is applied to obtain the solution for space fractional partial differential equations where the space fractional derivative is in the Riesz sense. On the basis of the properties and definition of the fractional derivative, the iterative technique is carried out in a straightforward manner without the need for transforms or numerical approximations. Examples demonstrate that the series solution obtained shows agreement with the exact solutions of the problems solved.
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