New results for the Adomian method
- 1 April 2000
- journal article
- Published by Emerald Publishing in Kybernetes
- Vol. 29 (3) , 332-355
- https://doi.org/10.1108/03684920010795303
Abstract
Describes the Adomian decomposition method and provides a new proof for the evaluation of the Abbaoui‐Cherruault numbers. Demonstrates a new result for Bell polynominals and establishes and proves a new norm bound for Adomian polynominals. Demonstrates an application to the truncation error evaluation and applies the presented results to a microchip lasers problem.Keywords
This publication has 10 references indexed in Scilit:
- Pump size optimization in microchip lasersOptics Communications, 1997
- Transverse modes in microchip lasersJournal of the Optical Society of America B, 1996
- Practical formulae for the calculus of multivariable adomian polynomialsMathematical and Computer Modelling, 1995
- New ideas for proving convergence of decomposition methodsComputers & Mathematics with Applications, 1995
- Application of the decomposition method to identify the distributed parameters of an elliptical equationMathematical and Computer Modelling, 1995
- Convergence of Adomian's method applied to nonlinear equationsMathematical and Computer Modelling, 1994
- Convergence of decomposition methods and application to biological systemsInternational Journal of Bio-Medical Computing, 1994
- New ideas for solving identification and optimal control problems related to biomedical systemsInternational Journal of Bio-Medical Computing, 1994
- Convergence of Adomian's MethodKybernetes, 1989
- On the solution of algebraic equations by the decomposition methodJournal of Mathematical Analysis and Applications, 1985