A quartic \(C^ 3\)-spline collocation method for solving second-order initial value problems

DOI10.1016/S0377-0427(96)00082-9zbMath0865.65052OpenAlexW2085562953MaRDI QIDQ2564272

Yanyan Li

Publication date: 10 July 1997

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00082-9

zbMATH Keywords

absolute stabilitysplinecollocationsecond-order differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (12)

Initial value problems with retarded argument solved by iterated quadratic splines ⋮ On some 4-Point Spline Collocation Methods for Solving Ordinary Initial Value Problems ⋮ Quintic \(C^2\)-spline integration methods for solving second-order ordinary initial value problems ⋮ Quadratic spline solution for boundary value problem of fractional order ⋮ Quartic spline methods for solving one-dimensional telegraphic equations ⋮ Hierarchical cascade model leading to 7-th order initial value problem ⋮ On some 4-point spline collocation methods for solving second-order initial value problems ⋮ Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions ⋮ An unconditionally stable spline difference scheme of \(O(k^2+h^4)\) for solving the second-order 1D linear hyperbolic equation ⋮ A continuous implicit nyström method for solving ordinary second order initial value problems ⋮ A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations ⋮ Computational quartic \(c^3\)-spline and quintic \(c^2\)-spline algorithms for solving second-order initial value problems

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