This paper applies the homotopy analysis method (HAM) to systems of ordinary differential equations (ODEs). The systems investigated include stiff systems, the chaotic Genesio system and the matrix Riccati-type differential equation. The HAM gives approximate analytical solutions which are of compar
Regularity results for solving systems of polynomials by homotopy method
β Scribed by T. Y. Li; Tim Sauer
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- English
- Weight
- 282 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
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
## Exact solution a b s t r a c t In this paper, we present an efficient numerical algorithm to find exact solutions for the system of linear equations based on homotopy perturbation method (HPM). A reliable modification is proposed, and the modified method is employed to solve the system of linea