Numerical solution of a quasilinear parabolic problem

DOI10.1007/BF02881027zbMath0426.65061OpenAlexW2017810710MaRDI QIDQ1136212

S. H. Smith

Publication date: 1980

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02881027

zbMATH Keywords

finite difference methodnumerical examplesquasilinear parabolic problemCrank-Nicolson difference schemeBlock-Gaussian elimination methodlinearisation techniquesPicard or Newton methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems ⋮ An explicit two-step method exact for the scalar test equation \(y'= \lambda y\)

Cites Work

• Some numerical experiments using Newton's method for nonlinear parabolic and elliptic boundary-value problems
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