Homotopy analysis method: A new analytic method for nonlinear problems
β Scribed by Liao Shijun
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 294 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0253-4827
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## Communicated by J. Cash In this paper, we use homotopy analysis method (HAM) to solve two-point nonlinear boundary value problems that have at least one solution. The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic c
This paper investigates two basic steps of the homotopy analysis method (HAM) when applied to nonlinear boundary value problems of the chemical reaction kinetics, namely (1) the prediction and (2) the effective calculation of multiple solutions. To be specific, the approach is applied to the dual so
In this paper a novel hybrid spectral-homotopy analysis technique developed by Motsa et al. (2009) and the homotopy analysis method (HAM) are compared through the solution of the nonlinear equation for the MHD Jeffery-Hamel problem. An analytical solution is obtained using the homotopy analysis meth