Lobatto deferred correction for stiff two-point boundary value problems

DOI10.1016/S0898-1221(98)80009-6zbMath0933.65086MaRDI QIDQ1962931

H. H. M. Silva, Z. Bashir-Ali, Jeff R. Cash

Publication date: 20 January 2000

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

zbMATH Keywords

symmetrystabilitynumerical examplesdeferred correction algorithmLobatto Runge-Kutta formulaenonlinear stiff two-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

Algebraic conditions for high-order convergent deferred correction schemes based on Runge-Kutta-Nyström methods for second order boundary value problems ⋮ Constraint control of nonholonomic mechanical systems ⋮ A finite differences MATLAB code for the numerical solution of second order singular perturbation problems ⋮ High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems ⋮ Runge-Kutta methods for the solution of stiff two-point boundary value problems ⋮ A highly stable deferred correction scheme with interpolant for systems of nonlinear two-point boundary value problems ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses ⋮ Symplectic integration of boundary value problems

Uses Software

• COLSYS

Cites Work

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• Collocation Software for Boundary-Value ODEs
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• A Variable Order Finite Difference Method for Nonlinear Multipoint Boundary Value Problems
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• Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations

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