The paper investigates the viability of using moving mesh methods to simulate travelling wave solutions of Fisher's equation. Results are presented that illustrate the weaknesses in moving mesh methods based on equidistribution of some popular monitor functions. It is shown that knowledge of the dif
Numerical study of fisher's equation by Adomian's method
β Scribed by T. Mavoungou; Y. Cherruault
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 394 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
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 method is not influenced by the choice of the operator L in the equation to be solved. Furthermore, under some conditions, these results are close to those obtained by using other numerical techniques
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