Rothe method for a mixed problem with an integral condition for the two-dimensional diffusion equation.
Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Philippe Angot, Vít Dolejší, Miloslav Feistauer, Jiří Felcman (1998)
Applications of Mathematics
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We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume barycentric mesh, whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite elements. Under the assumption that the triangulations...
Donal O'Regan (1998)
Czechoslovak Mathematical Journal
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Existence results are established for the resonant problem a.e. on with satisfying Dirichlet boundary conditions. The problem is singular since is a Carathéodory function, with a.e. on and .
Pokhariyal, G.P., Rodrigues, A.J. (1994)
International Journal of Mathematics and Mathematical Sciences
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Wan, Qian, Xiao, Ti-Jun (2011)
Advances in Difference Equations [electronic only]
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Shujun You, Boling Guo, Xiaoqi Ning (2012)
Applications of Mathematics
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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.