Approximate solutions to boundary value problems of higher order by the modified decomposition method
โ Scribed by A.-M. Wazwaz
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 693 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we present an efficient numerical algorithm for approximate solutions of higher-order boundary value problems with two-point boundary conditions. A modified form of the Adomian decomposition method will be implemented to construct such solutions. The approach provides the solution in the form of a rapidly convergent series. The analysis is accompanied by numerical examples. The obtained results demonstrate reliability and efficiency of the proposed scheme. (~) 2000 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
The work presents a derivation of approximate analytical solutions of high-order boundary value problems using the variational iteration method. The solution procedure is simple and the obtained results are of high accuracy. Some examples are given to elucidate the effectiveness and convenience of t
Approximate solutions, similar to the type used in the Complex Variable Boundary Element Method, are shown to exist for two dimensional mixed boundary value potential problems on multiply connected domains. These approximate solutions can be used numerically to obtain least squares solutions or solu