Oscillations of solutions of initial value problems for parabolic equations by the decomposition method

International Journal of Computer Mathematics

Volumn 80, Issue 7, 2003, Pages 863-868

  Bulut, Hasan ^a   Evans, D J ^b  

^a FIRAT UNIVERSITY   (Turkey)

^b NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

A linear and nonlinear parabolic equation; The decomposition method

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; NUMERICAL METHODS;

A LINEAR AND NONLINEAR PARABOLIC EQUATIONS; PARABOLIC EQUATIONS; THE DECOMPOSITION METHOD;

INITIAL VALUE PROBLEMS;

EID: 28244453186     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/0020716031000070571     Document Type: Article

References (10)

1. Adomian, G. (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston.
2. Adomian, G. (1988). A review of the decomposition method in applied mathematics. J. Math. Anal. Appl., 135, 501-544.
3. Adomian, G. (1986). Nonlinear Stochastic Operator Equations. Academic Press, San Diego, CA.
4. Wazwaz, A. M. (1997). Necessary conditions for the appearance of noise terms in decomposition solution series. J. Math. Anal. Appl., 5, 265-274.
5. Adomian, G. and Rach, R. (1992). Noise terms in decomposition solution series. Computers Math. Appl., 24(11), 61-64.
6. Evans, D. J. and Bulut, H. (2002). A new approach to the gas equations: An application of the decomposition method. Inter. J. Computer Math, 79(7), 817-822.
7. Cherruault, Y. (1989). Convergence of Adomian's method. Kybernetes, 18(2), 31-38.
8. Bulut, H. and Evans, D. J. (2002). On the solution of the Ricatti equation by the decomposition method. Inter. J. Computer Math., 79, 103-109.
9. Kaya, D. and Bulut, H. (2000). The decomposition method for approximate solution of burgers equations. Bullettin of the Institute of Math Academica, 28(1), 35-41.
10. Kaya, D., Bulut, H. and Inc, M. (1999). Numerical study of a Klein-Gordon equation by The Adomian's decomposition method. Inönü. Unv. XII National Mathematics Semposium, Inönü University, Malalya.