The method of lines for the solution of some nonlinear partial differential equations

DOI10.1016/0898-1221(88)90287-8zbMath0659.65082OpenAlexW2037037048MaRDI QIDQ1112566

István Győri

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90287-8

zbMATH Keywords

convergencemethod of linesmoving boundarybiologic process

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Free boundary problems for PDEs (35R35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) General biology and biomathematics (92B05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (6)

Two approximation techniques for functional differential equations ⋮ Method of lines for quasilinear functional differential equations ⋮ Infinite Systems of Quasilinear Differential Difference Inequalities and Applications ⋮ Comparison ODE theorems related to the method of lines ⋮ Some mathematical aspects of modelling cell population dynamics ⋮ An explicit extrapolated box scheme for the Gurtin-MacCamy equation

Cites Work

• Modelling thrombopoiesis regulation. I: Model description and simulation results
• Parameter estimation techniques for transport equations with application to population dispersal and tissue bulk flow models
• A Set of Library Routines for Solving Parabolic Equations in One Space Variable
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