Existence, Uniqueness, and Numerical Analysis of Solutions of a Quasilinear ParabolicProblem
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Date
1992-04
Authors
Wei, Dongming
Journal Title
Journal ISSN
Volume Title
Publisher
Society for Industrial and Applied Mathematics. SIAM Journal on Numerical Analysis
Abstract
A quasilinear parabolic problem is studied. By using the method of lines, the existence and uniqueness of a solution to the initial boundary value problem with sufficiently smooth initial conditions are shown. Also given are L2 error estimates for the error between the extended fully discrete finite element solutions and the exact solution.
Description
Keywords
quasilinear parabolic problem, method of lines, finite element method, L2 estimates
Citation
Dongming Wei; 1992; Society for Industrial and Applied Mathematics. SIAM Journal on Numerical Analysis; Journal on Numerical Analysis; http://nur.nu.edu.kz/handle/123456789/1914