A Method to Solve Non-homogeneous Strongly Coupled Mixed Parabolic Boundary Value Systems with Non-homogeneous Boundary Conditions
In this paper, a method to construct the solution of non-homogeneous parabolic coupled systems with non-homogeneous boundary conditions of the type ut−Auxx = G(x, t), A1u(0, t)+B1ux(0, t) = P(t), A2u(l, t)+ B2ux(l, t) = Q(t), 0 < x < 1, t > 0, u(x, 0) = f(x), where A is a positi...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/81011 |
| Online Access: | https://riunet.upv.es/handle/10251/81011 |
| Access Level: | Open access |
| Keyword: | Coupled diffusion problems Coupled boundary conditions Vector boundary-value differential systems Non-homogeneous problems Non-homogeneous conditions MATEMATICA APLICADA TECNOLOGIA ELECTRONICA |
| Summary: | In this paper, a method to construct the solution of non-homogeneous parabolic coupled systems with non-homogeneous boundary conditions of the type ut−Auxx = G(x, t), A1u(0, t)+B1ux(0, t) = P(t), A2u(l, t)+ B2ux(l, t) = Q(t), 0 < x < 1, t > 0, u(x, 0) = f(x), where A is a positive stable matrix and A1, A2, B1, B2 are arbitrary matrices for which the block matrix A1 B1 A2 B2 is non-singular, is proposed. Two illustrative examples of the method are given. |
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