The numerical solution of non-linear partial differential equations by the method of lines

DOI10.1016/0771-050X(81)90050-4zbMath0483.65067OpenAlexW2047754899MaRDI QIDQ1163352

L. Graney, A. A. Richardson

Publication date: 1981

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0771-050x(81)90050-4

zbMATH Keywords

Burgers' equationfourth order finite difference approximationsGear's fourth order stiffly stable methodNordsieck formsemi- discretisation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (3)

The effect of residual axial gravity on the stability of liquid columns subjected to electric fields ⋮ Unnamed Item ⋮ Numerical solution of the generalized Burgers' equation via spectral/spline methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Software for Nonlinear Partial Differential Equations
• Analysis of explicit difference methods for a diffusion‐convection equation
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• An Order Five Runge-Kutta Process with Extended Region of Stability
• The automatic integration of ordinary differential equations
• Uniform Computation of the Error Function and Other Related Functions
• On a quasi-linear parabolic equation occurring in aerodynamics

This page was built for publication: The numerical solution of non-linear partial differential equations by the method of lines