On the general Taylor theorem and its applications in solving non-linear problems

Communications in Nonlinear Science and Numerical Simulation

Volumn 2, Issue 3, 1997, Pages 135-140

  Liao, Shi Jun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Non linear differential equations; Power series

Indexed keywords

DIFFERENTIAL EQUATIONS; FORMAL LOGIC; NONLINEAR EQUATIONS; PROBLEM SOLVING;

NON-LINEAR DIFFERENTIAL EQUATIONS; NONLINEAR PROBLEMS; TAYLOR SERIES; TAYLOR THEOREM;

THEOREM PROVING;

MATHEMATICAL ANALYSIS;

EID: 0042707447     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(97)90015-0     Document Type: Article

References (8)

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3. 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.
4. Liao, S. J., A kind of approximate solution technique which does not depend upon small parameters: a special example. Int. J. Non-linear Mechanics, 1995, 30:371-380.
5. Liao, S. J., A kind of approximate solution technique which does not depend upon small parameters (2): an application in fluid mechanics. Int. J. Non-linear Mechanics. Int. J. Non-Linear Mechanics, 1997, 32 (2): 815-822.
6. Liao, S. J. Homotopy Analysis Method and its applications in mathematics, Journal of Basic Science And Engineering, 1997, 5 (2): 111-125 (in Chinese).
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8. Liao, S. J., Homotopy Analysis Method: a new analytic technique for nonlinear problems. Comm. of Nonlinear Science Abstract: Numer. Simulations, 1997, 2 (2): 95-100.