On Similarity Solutions of a Heat Equation with a Nonhomogeneous Nonlinearity
β Scribed by Stathis Filippas; Achilles Tertikas
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 167 KB
- Volume
- 165
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
## Abstract We study the thirdβorder nonlinear equation: __f__β²β²β² + (__m__ + 2)__ff__β²β² β (2__m__ + 1)__f__β²^2^ = 0 on (0, β), subject to the boundary conditions __f__(0) = β Ξ³ β β, __f__β²(β) = 0 and __f__β²β²(0) = β1. The problem arises in the study of similarity solutions for boundary layer flows w
## Abstract In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation __X__ + __A__^\*^__X__^βΞ±^__A__ = __Q__ with Ξ± β (0, β) are given. Iterative methods to obtain the positive definite solutions are established and the rat