The successive approximation method and Padé approximants for solutions the non-linear boundary value problem

Applied Mathematics and Computation

Volumn 146, Issue 2-3, 2003, Pages 681-690

  Şimşek, Hakan ^a   Çelik, Ercan ^a  

^a ATATÜRK UNIVERSITY   (Turkey)

Author keywords

Non linear equation; Pad approximants; Successive approximation method

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

POWER SERIES ANALYSIS;

BOUNDARY VALUE PROBLEMS;

EID: 0041736707     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00612-4     Document Type: Article

References (7)

1. Mamedov J.D., Berger G., Dörner H. Eine Methode zur naherrungsweisen einer Randwertaufgabe einer linearen gewöhnlichen Differentialgichund 2. Ordnung Zeitschrift für Analysis und ihre Anwendungen, Bd. 2(1):1983;11-23.
2. Casti J., Kalaba R. Imbedding Methods in Applied Mathematics. 1973;Adison-Wesley, London.
3. Şimşek H. An approximate solution of a non-linear boundary value problem. J. Fac. Sci. Ege Univ. 20:1997;77-88.
4. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes. 1988;Cambridge University Press, Cambridge.
5. Wazwaz A.M. Analytical approximations and Padé approximations for Volterra's population model. App. Math. Comput. 100:1999;13-25.
6. Y.C. Memmedov, Approximate Methods, Atatürk Uni., Erzurum, 1994 (in Turkish).
7. E. Çelik, M. Bayram, On numerical solution of differential-algebraic equations by Padé series, App. Math. Comput., in press.