A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method
作者： S. Abbasbandy
DOI: 10.1016/J.CHAOS.2005.10.071
关键词:
摘要: Abstract In this paper, Adomian’s decomposition method is proposed to solve the well-known Blasius equation. Comparison with homotopy perturbation and Howarth’s numerical solution reveals that of high accuracy.
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Liao Shijun, Homotopy analysis method: A new analytic method for nonlinear problems Applied Mathematics and Mechanics. ,vol. 19, pp. 957- 962 ,(1998) , 10.1007/BF02457955
George Adomian, Nonlinear Stochastic Operator Equations ,(1986)
George Adomian, Solving Frontier Problems of Physics: The Decomposition Method ,(1993)
Shi-jun Liao, A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics International Journal of Non-linear Mechanics. ,vol. 32, pp. 815- 822 ,(1997) , 10.1016/S0020-7462(96)00101-1
Asai Asaithambi, Numerical solution of the Falkner-Skan equation using piecewise linear functions Applied Mathematics and Computation. ,vol. 159, pp. 267- 273 ,(2004) , 10.1016/J.AMC.2003.10.047
Abdul-Majid Wazwaz, A new algorithm for calculating adomian polynomials for nonlinear operators Applied Mathematics and Computation. ,vol. 111, pp. 33- 51 ,(2000) , 10.1016/S0096-3003(99)00063-6
Ji-Huan He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 26, pp. 695- 700 ,(2005) , 10.1016/J.CHAOS.2005.03.006
S. Abbasbandy, M.T. Darvishi, A numerical solution of Burgers' equation by modified Adomian method Applied Mathematics and Computation. ,vol. 163, pp. 1265- 1272 ,(2005) , 10.1016/J.AMC.2004.04.061
Ji-Huan He, A simple perturbation approach to Blasius equation Applied Mathematics and Computation. ,vol. 140, pp. 217- 222 ,(2003) , 10.1016/S0096-3003(02)00189-3
G Adomian, R Rach, On the solution of algebraic equations by the decomposition method Journal of Mathematical Analysis and Applications. ,vol. 105, pp. 141- 166 ,(1985) , 10.1016/0022-247X(85)90102-7