Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations.

DOI10.1016/S0898-1221(03)80023-8zbMath1035.65103OpenAlexW2165491452MaRDI QIDQ1416393

C. M. García-López

Publication date: 14 December 2003

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80023-8

zbMATH Keywords

convergencetwo-point boundary-value problemsinitial-value problemsDifferential equationsshooting methodnonstandard finite difference schemesconvection-reaction-diffusion problemsfactorization methods\(\vartheta\)-methodsMethods of linesPiecewise-linearization

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Uses Software

• RODAS

Cites Work

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