O(h\({}^ 4)\) locally overconvergent semidiscrete scheme for the equation \(u_ t=u_{xx}+f(t,x,u)\)

DOI10.1016/0377-0427(91)90044-KzbMath0721.65052OpenAlexW2016698398MaRDI QIDQ2641092

Tadeusz Styś, Krystyna Styś

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90044-k

zbMATH Keywords

quasilinear parabolic equationssemidiscrete schemefinite-difference methodmethod of iterationGauss elimination methodLiouville's equationlocal overconvergence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

An optimal algorithm for certain boundary value problem ⋮ \(O(\tau^ 2 + h^ 4)\) finite difference scheme for decoupled system of two quasilinear parabolic equations ⋮ A linearly implicit predicator-corrector method for reaction-diffusion equations ⋮ A finite-difference scheme overconvergent at certain mesh points

Cites Work

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• Approximate Solutions of Non-linear Boundary-value Problems
• Supra-Convergent Schemes on Irregular Grids
• The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type

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