A compact unconditionally stable finite-difference method for transient one-dimensional advection-diffusion

DOI10.1002/cnm.1630070702zbMath0741.65067OpenAlexW2018292002MaRDI QIDQ3985158

B. J. Noye

Publication date: 27 June 1992

Published in: Communications in Applied Numerical Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1630070702

zbMATH Keywords

unconditional stabilityadvection-diffusion equationCourant numbersReynolds numbersdiffusion numberssecon-order finite-difference methodtwo-level finite-difference technique

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

Fourth-order semi-compact scheme for flow past a rotating and translating cylinder ⋮ A comparative study of finite difference methods for solving the one- dimensional transport equation with an initial-boundary value discontinuity ⋮ High-order compact boundary value method for the solution of unsteady convection-diffusion problems ⋮ Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements ⋮ Extension of high-order compact schemes to time-dependent problems ⋮ Higher-order semi compact scheme to solve transient incompressible Navier-Stokes equations

Cites Work

• A Study of the Numerical Solution of Partial Differential Equations
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