On approximate solutions to some nonlinear diffusion problems

DOI10.1007/BF00948485zbMath0779.35053MaRDI QIDQ687422

Wojciech Okrasiński

Publication date: 24 October 1993

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

weak solutionsapproximate solutionnonlinear diffusion problemintegral operator methodssemiconductor production

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Diffusion (76R50) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (10)

Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line ⋮ Existence, uniqueness, and approximation of solutions to some nonlinear diffusion problems ⋮ Existence and uniqueness results for a time-fractional nonlinear diffusion equation ⋮ Attracting solutions of nonlinear Volterra integral equations ⋮ EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS ⋮ Extremal solutions of \(\varphi \)-Laplacian-diffusion scalar problems with nonlinear functional boundary conditions in a unified way ⋮ Approximate solutions to a new class of nonlinear diffusion problems ⋮ Determination of the interface position for some nonlinear diffusion problems ⋮ Approximation of solutions for nonlinear problems with an application to the study of aneurysms of the circle of Willis ⋮ Asymptotic Behaviour of the Interface of Some non-linear Diffusion Problems

Cites Work

• Approximate solutions to a nonlinear diffusion equation
• High Concentration Arsenic Diffusion in Crystalline Silicon: An Asymptotic Analysis
• On a nonlinear ordinary differential equation
• Unnamed Item

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