A finite-difference scheme overconvergent at certain mesh points

DOI10.1016/0377-0427(92)90077-BzbMath0759.65068OpenAlexW2078090196MaRDI QIDQ1200190

Tadeusz Styś

Publication date: 17 January 1993

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(92)90077-b

zbMATH Keywords

stabilityconvergencenumerical examplequasilinear elliptic equationfinite difference schemeerror analysissemidiscrete schemenonlinear Poisson equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

\(O(\tau^ 2 + h^ 4)\) finite difference scheme for decoupled system of two quasilinear parabolic equations

Cites Work

• O(h\({}^ 4)\) locally overconvergent semidiscrete scheme for the equation \(u_ t=u_{xx}+f(t,x,u)\)
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
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