Homotopy analysis method: A new analytical technique for nonlinear problems

Communications in Nonlinear Science and Numerical Simulation

Volumn 2, Issue 2, 1997, Pages 95-100

  Liao, Shijun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Homotopy; Nonlinear analytical technique; Strong nonlinearity; Topology

Indexed keywords

COMPUTER SIMULATION; NUMERICAL METHODS; PERTURBATION TECHNIQUES; THEOREM PROVING;

GENERAL TAYLOR THEOREM; HOMOTOPY ANALYSIS METHOD (HAM); NONLINEAR PROBLEMS;

NONLINEAR EQUATIONS;

MATHEMATICAL ANALYSIS;

EID: 0041705865     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(97)90047-2     Document Type: Article

References (11)

1. Liao, S. J., The Homotopy Analysis Method and its applications in mechanics. Ph. D. Dissertation (in English), Shanghai Jiao Tong Univ., 1992.
2. Liao, S. J., A kind of linear invariance under homotopy and some simple applications of it in mechanics. Bericht Nr. 520, Institut fuer Schiffbau der Universitaet Hamburg, 1992.
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7. Liao, S. J., Boundary Elements XVII. Computational Mechanics Publications, Southampton, 1995, 67-74.
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10. Liao, S. J, Homotopy Analysis Method and its applications in mathematics, J. Basic Sci. Eng., 1997, 5 (2): 111-125.
11. Liao, S. J., The common ground of all numerical and analytical technique for solving nonlinear problems. Commun. Nonlinear Sci. Nonlinear Simul. 1996, 1 (4): 26-30.