On the numerical solution of elliptic partial differential equations by the method of lines

DOI10.1016/0021-9991(72)90007-1zbMath0248.65057OpenAlexW2017626433MaRDI QIDQ2556211

E. B. Klunker, Dixon J. Jones, Jerry C. jun. South

Publication date: 1972

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(72)90007-1

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Stiffness characteristic and the applications of the method of lines on nonuniform grids, On the validity and stability of the method of lines for the solution of partial differential equations, Construction of seamless immersed boundary phase-field method, Solution of a problem in the theory of laser medicine by the method of lines, Compact high-order schemes for the Euler equations, A primitive variable finite element formulation for inviscid, compressible flow, On the practical use of high-order methods for hyperbolic systems, The method of lines for Poisson's equation with nonlinear or free boundary conditions, On the solution of highly structured nonlinear equations, Direct evaluation of branching points for equations arising in the theory of explosions of solid explosives, A comparison of numerical methods for the solution of quasilinear equations, Invariant imbedding approach for the solution of the minimal surface equation, On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method, Numerical solution technique for transient, two-dimensional combustion with multi-step kinetics, Solution of Troesch's, and other, two point boundary value problems by shooting techniques, Supercritical flow past symmetrical airfoils, A super-element approach for the solution of problems of the boundary value type, Dynamics of a nonlinear parametrically excited partial differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Application of a method for approximating extremals of functionals to compressible subsonic fluid flows
• Stable Predictor-Corrector Methods for Ordinary Differential Equations
• A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives
• Numerical Solution of Parabolic Partial Differential Equations With Two-Point Boundary Conditions by Use of the Method of Lines
• Numerical Solution of the Minimal Surface Equation
• Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates