In this paper, a new modification of the homotopy analysis method (HAM) is presented for solving systems of secondorder boundary-value problems (BVPs). The main advantage of the modified HAM (MHAM) is that one can avoid the uncontrollability problems of the nonzero endpoint conditions encountered in
A new spectral-homotopy analysis method for solving a nonlinear second order BVP
β Scribed by S.S. Motsa; P. Sibanda; S. Shateyi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 606 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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π SIMILAR VOLUMES
In this paper we have used the homotopy analysis method (HAM) to obtain solutions of multi-term linear and nonlinear diffusion-wave equations of fractional order. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented.
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