期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 14, 期 2, 页码 409-423出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2007.10.007
关键词
Homotopy analysis method; Modified homotopy analysis method; Non-linear equations
类别
资金
- Academy of Sciences Malaysia [04-01-02-SF0177]
In this paper, a new modification of the homotopy analysis method (HAM) is presented and applied to homogeneous or non-homogeneous differential equations with constant or variable coefficients. A comparative study between the new modified homotopy analysis method (MHAM) and the classical HAM is conducted. The main advantage of MHAM is that one can avoid the uncontrollability problems of the non-zero endpoint conditions encountered in the traditional HAM. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHAM. (c) 2007 Elsevier B.V. All rights reserved.
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