The method of lines and the advective equation

DOI10.1177/003754977803100205zbMath0386.65043OpenAlexW2141141791MaRDI QIDQ4167503

H. W. Hinds, M. B. Carver

Publication date: 1978

Published in: SIMULATION (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/003754977803100205

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Initial value problems for linear first-order PDEs (35F10) Boundary value problems for linear first-order PDEs (35F15) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

Group velocity and reflection phenomena in numerical approximations of hyperbolic equations, Stability charts in the numerical approximation of partial differential equations: A review, Pseudo-characteristic method of lines solution of first-order hyperbolic equation systems, Pseudo characteristic method of lines solution of the conservation equations, Propagation properties of semi-discretizations of hyperbolic equations, Adaptive hybridized spline differentiators for numerical solution of the advection equation, A Study of the Nonlinear Landau Damping in the Fourier Transformed Velocity Space, Adaptive hybridized spline differentiators for numerical solution of the advection equation, A physically-based entropy production rate method to simulate sharp-front transport problems in porous medium systems, Energy and group velocity in semi discretizations of hyperbolic equations

Uses Software

• FORSIM VI

Cites Work

• Unnamed Item
• The method of lines applied to a simple hyperbolic equation
• A stable difference scheme for the solution of hyperbolic equations using the method of lines
• Finite element methods for second order differential equations with significant first derivatives