A comparison of the method of lines to finite difference techniques in solving time-dependent partial differential equations

DOI10.1016/0045-7930(78)90007-5zbMath0383.76038OpenAlexW2017100898MaRDI QIDQ1248417

K. Appert

Publication date: 1978

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(78)90007-5

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Incompressible viscous fluids (76D99) Finite difference methods for boundary value problems involving PDEs (65N06) Software, source code, etc. for problems pertaining to fluid mechanics (76-04) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Stiffness characteristic and the applications of the method of lines on nonuniform grids ⋮ Development of a second order approximation for the Navier-Stokes equations ⋮ Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow ⋮ Nonlinear water wave generation using the method of lines ⋮ On local relaxation methods and their application to convection-diffusion equations ⋮ Method of Lines for Transient Flow Fields

Uses Software

• GEAR

Cites Work

• Inversion of Lewis' Poisson operator
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Remarks on the Iterative Solution of the Neumann Problem on a Rectangle by Successive Line Over-Relaxation

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