Solution of nonlinear transport-diffusion problems by linearization

DOI10.1016/J.AMC.2007.01.109zbMath1193.35094OpenAlexW2056237736MaRDI QIDQ990512

M. S. El-Azab

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.01.109

zbMATH Keywords

parabolic partial differential equationsconvergence resultsRothe-wavelet methodnonlinear degenerate problems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (4)

Finite element solution of nonlinear diffusion problems ⋮ Solution to an integrodifferential equation with integral condition ⋮ On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization ⋮ Solution to fractional pseudoparabolic equation with fractional integral condition

Cites Work

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• An effective linear scheme to solve nonlinear degenerate parabolic differential equations
• Galerkin-wavelet methods for two-point boundary value problems
• Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• AN EXACT SOLUTION TO THE NONLINEAR DIFFUSION-CONVECTION EQUATION FOR TWO-PHASE FLOW
• Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium Adsorption Processes
• Large Time Asymptotics in Contaminant Transport in Porous Media

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