Towards a general integration algorithm for time-dependent one- dimensional systems of parabolic partial differential equations using the method of lines

DOI10.1016/0377-0427(92)90073-7zbMath0764.65053OpenAlexW2071542211MaRDI QIDQ1200185

A. H. Al-Rabeh

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)90073-7

zbMATH Keywords

algorithmnonlinear systemsnumerical examplesnumerical testsmethod of linesdifference schemesconvection diffusion equationhybrid schemesbackward differentiation formulasupwinding schemes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

On the computational efficiency of certain upwinding schemes ⋮ The method of lines for ternary diffusion problems ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations ⋮ An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations

Uses Software

• PDETWO

Cites Work

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