Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions
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Publication:1849149
DOI10.1016/S0022-247X(02)00114-2zbMath1010.65041MaRDI QIDQ1849149
Siegfried Carl, Vangipuram Lakshmikantham
Publication date: 28 November 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
weak solutionsmonotone iterative techniquegeneralized quasilinearization methodmethod of upper and lower solutionssemilinear parabolic initial-boundary value problemmonotone quadratic convergence
Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
- Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
- Methods of nonlinear analysis. Vol. II
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Dynamics of reaction-diffusion equations with nonlocal boundary conditions
- Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions
- Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type
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