The effect of the linear operator L, used in the Adomian's method for solving nonlinear partial differential equations, on the convergence is studied on the Fisher's equation, which describes a balance between linear diffusion and nonlinear reaction. The results show that the convergence of this met
Numerical study of Lorenz's equation by the Adomian method
β Scribed by S. Guellal; P. Grimalt; Y. Cherruault
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 232 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, we use the decomposition method (of Adomian) for solving differential systems coming from physics (meteorology). We also give a comparison between the Runge-Kutta method and the decomposition technique. Furthermore, we reconfirm the famous "Butterfly effect.
π SIMILAR VOLUMES
In this paper, the discrete Adomian decomposition method (ADM) is proposed to numerically solve the two-dimensional Burgers' nonlinear difference equations. Two test problems are considered to illustrate the accuracy of the proposed discrete decomposition method. It is shown that the numerical resul
In this paper, we consider the n-term linear fractional-order differential equation with constant coefficients and obtain the solution of this kind of fractional differential equations by Adomian decomposition method. With the equivalent transmutation, we show that the solution by Adomian decomposit