Exact solution of mixed problems for variable coefficient one-dimensional diffusion equation |
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| Affiliation: | Departamento de Matemática Aplicada Universidad Politécnica de Valencia 46071 Valencia, Spain;Departamento de Matemáticas y Estadística Florida Universitaria, C/ En Jaume I Apartado de Correos 15, Catarroja, Valencia, Spain |
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| Abstract: | This paper deals with diffusion problems modeled by the equation a(t)uxx = ut, x > 0, t > 0, u(x, 0) = c(x) together with the boundary condition u(0, t) = b(t) or ux(0, t) = b(t). By using Fourier transforms, existence conditions and exact solutions of the above mixed problems are given. |
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