Accurate finite difference approximations for the solution of parabolic partial differential equations by semi‐discretization

DOI10.1002/nme.1620231213zbMath0618.65114OpenAlexW2110627567MaRDI QIDQ4728178

E. Huntley

Publication date: 1986

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620231213

zbMATH Keywords

stiff systemsmethod of linessemi-discretizationRunge-Kutta formulaeGear's methodAdams-Bashfort-Moulton predictor-corrector methodshigh-order central difference operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (6)

Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations ⋮ On the numerical solution of partial differential equations defined on domains limited by curves using segmented forms of the tau-lines method ⋮ Domain decomposition and the numerical solution of partial differential equations defined on irregular domains using segmented forms of the tau lines method ⋮ Stability analysis of six-point finite difference schemes for the constant coefficient convective-diffusion equation ⋮ New second- and fourth-order accurate numerical schemes for the nonlinear cubic Schrödinger equation ⋮ A new second-order accurate time discretization method for the nonlinear cubic Schrödinger equation

Cites Work

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