On the validity and stability of the method of lines for the solution of partial differential equations

DOI10.1016/0096-3003(87)90038-5zbMath0619.65105OpenAlexW2048848076MaRDI QIDQ1089770

Mikhail Naguib Mikhail

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0096-3003(87)90038-5

zbMATH Keywords

stabilityDirichlet problemmethod of linesLaplace equationFourier series representation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (6)

The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary ⋮ The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix ⋮ Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation ⋮ On the solution of highly structured nonlinear equations ⋮ The effect of residual axial gravity on the stability of liquid columns subjected to electric fields ⋮ A super-element approach for the solution of problems of the boundary value type

Cites Work

• A super-element approach for the solution of problems of the boundary value type
• On the numerical solution of elliptic partial differential equations by the method of lines
• A classification and survey of numerical methods for boundary value problems in ordinary differential equations
• The method of straight lines for one-dimensional mixed non-stationary problems and estimation of the mean square error

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