A Numerical Verification of Nontrivial Solutions for the Heat Convection Problem
β Scribed by Yoshitaka Watanabe; Nobito Yamamoto; MitsuhiroT. Nakao; Takaaki Nishida
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 328 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1422-6928
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π SIMILAR VOLUMES
We proposed some numerical methods for the automatic proof of existence of solutions for some unilateral problems. In this paper, our goal is to establish a new procedure for numerical verification of some unilateral problems. (~) 2000 Elsevier Science Ltd. All rights reserved.
In this paper we investigate the existence of multiple nontrivial solutions of a nonlinear heat flow problem with nonlocal boundary conditions. Our approach relies on the properties of a vector field on the phase plane and utilizes Sperner's Lemma, combined with the continuum property of the solutio