Approximate analytical solutions of the nonlinear reaction–diffusion–convection problems
✍ Scribed by A. Shidfar; A. Babaei; A. Molabahrami; M. Alinejadmofrad
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 353 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
In this paper, the series pattern solutions of the nonlinear reaction-diffusion-convection initial value problems are obtained by using the homotopy analysis method (HAM). A complete description of this method is derived and the convergence of this method is shown. Finally, two test examples are given.
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We investigate stabilized Galerkin approximations of linear and nonlinear convection-diffusion-reaction equations. We derive nonlinear streamline and cross-wind diffusion methods that guarantee a discrete maximum principle for strictly acute meshes and first order polynomial interpolation. For pure