The differential transform approximation for the system of ordinary differential equations

International Journal of Computer Mathematics

Volumn 82, Issue 6, 2005, Pages 709-719

  Kurnaz, Aydin ^a   Oturanç, Galip ^a  

^a SELCUK UNIVERSITY   (Turkey)

Author keywords

Adaptive technique; Differential inverse transformation; Differential transformation; System of ordinary differential equations

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

ADAPTIVE TECHNIQUE; DIFFERENTIAL INVERSE TRANSFORMATION; DIFFERENTIAL TRANSFORMATION; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 27944448835     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160512331329050     Document Type: Article

References (13)

1. Biazar, J., Babolian, E. and Islam, R., 2004, Solution of the system of ordinary differential equations by a domain decomposition method. Applied Mathematics and Computation, 147, 713-719.
2. Inc, M. and Evans, D.J. 2004, An efficient approach to approximate solutions of eighth-order boundary-value problems. International Journal of Computer Mathematics, 81, 685-692.
3. Burden, R.L., Fakes, J.D. and Reynolds, A.C., 1981, Numerical Analysis (Boston, MA: PWS Publishing).
4. Chen, C.K. and Ho, S.H., 1996, Application of differential transformation to eigenvalue problems. Applied Mathematics and Computation, 79, 173-188.
5. Hassan, A.H., 2002, Different applications for the differential transformation in the differential equations. Applied Mathematics and Computation, 129, 183-201.
6. Jang, M.J., Chen, C.L. and Liu, Y.C., 2000, On solving the initial-value problems using the differential transformation method. Applied Mathematics and Computation, 115, 145-160.
7. Zhou, J.K., 1986, Differential Transformation and its Applications for Electrical Circuits (Wuhan, China: Huarjung University Press).
8. Enright, W.H., 1989, A new error-control for initial value solvers. Applied Mathematics and Computation, 31, 288-301.
9. Faires, J.D. and Burden, R.L., 1993, Numerical Methods (Boston, MA: PWS Publishing).
10. Gear, C.W., 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall).
11. Rama Mohana, R.M., 1981, Ordinary Differential Equations: Theory and Applications (London: Edward Arnold).
12. Abdel-Halim Hassan, I.H., 2002, On solving some eigenvalue problems by using a differential transformation. Applied Mathematics and Computation, 127, 1-22.
13. Higham, D.J., 1991, Global error versus tolerance for explicit Runge Kutta methods. IMA Journal of Numerical Analysis, 11, 457-480.