Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems
β Scribed by C.V. Pao
- Book ID
- 108458525
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 688 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
A uniΓΏed approach to monotone iterative techniques is developed for elliptic boundary value problems when the nonlinear term involved admits a splitting of a di erence of two monotone functions. The results obtained, using both the classical and variational methods, include several known results as
In this paper we extend the maximum principle and the method of upper and lower solutions to boundary value problems with the Caputo fractional derivative. We establish positivity and uniqueness results for the problem. We then introduce two well-defined monotone sequences of upper and lower solutio