Stabilized cubic c1-spline collocation method for solving first-order ordinary initial value problems

DOI10.1080/00207160008804924zbMath0957.65080OpenAlexW1969300592MaRDI QIDQ4951745

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Publication date: 8 May 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008804924

zbMATH Keywords

stabilityconvergencenumerical examplesspline collocation methodsfirst-order ordinary initial value problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (5)

Unconditionally stable C¹-cubic spline collocation method for solving parabolic equations ⋮ Solving the Fokker-Planck equation via the compact finite difference method ⋮ Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions ⋮ High-order compact solution of the one-dimensional heat and advection-diffusion equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• Multi-step methods are essentially one-step methods
• One parameter quadratic \(C^1\)-spline collocation method for solving first order ordinary initial value problems

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