Solution of two-point boundary-value problems using the differential transformation method

Journal of Optimization Theory and Applications

Volumn 99, Issue 1, 1998, Pages 23-35

  Chen, C L ^a   Liu, Y C ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Differential transformation method; Taylor series expansion; Two point boundary value problems

Indexed keywords

BOUNDARY VALUE PROBLEMS; TAYLOR SERIES;

ANALYTIC SOLUTION; DIFFERENTIAL TRANSFORMATION; DIFFERENTIAL TRANSFORMATION METHOD; TAYLOR'S SERIES EXPANSION; TRANSFORMATION METHODS; TWO POINT BOUNDARY VALUE PROBLEMS;

ITERATIVE METHODS;

EID: 0032345440     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021791909142     Document Type: Article

References (8)

1. ASCHER, U. M., MATTHEIJ, R. M. M., and RUSSELL, R. D., Numerical Solution of Boundary-Value Problems for Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, New Jersey, 1988.
2. FAIRES, J. D., and BURDEN, R. L., Numerical Methods, PWS, Boston, Massachusetts, 1993.
3. LI, H., Solving a Nonlinear Two-Point Boundary-Value Problem, Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, Vol. 2, pp. 1038-1042, 1992.
4. KELLER, H. B., Numerical Methods for Two-Point Boundary-Value Problems, Dover, New York, New York, 1992.
5. ZHOU, J. K., Differential Transformation and Its Applications for Electrical Circuits, Huarjung University Press, Wuhahn, China, 1986 (in Chinese).
6. CHEN, C. L., LIN, S. H., and CHEN, C. K., Application of Taylor Transformation to Nonlinear Predictive Control Problem, Applied Mathematical Modeling, Vol. 20, pp. 699-710, 1996.
7. GREENBERG, M. D., Foundations of Applied Mathematics, Prentice-Hall, Englewood Cliffs, New Jersey, 1978.
8. MIELE, A., and WANG, T., Parallel Computation of Two-Point Boundary-Value Problems via Particular Solutions, Journal of Optimization Theory and Applications, Vol. 79, pp. 5-29, 1993.