Convergence of Adomian's method
โ Scribed by Y. Cherruault
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 296 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
We propose general conditions and a new formulation for proving the convergence of Adorn&n's method for the numerical resolution of nonlinear functional equations depending on one or several variables.
๐ SIMILAR VOLUMES
In this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution.
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