Lobatto deferred correction for stiff two-point boundary value problems

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Data

1998-11-01

Autores

Bashir-Ali, Z.
Cash, JR
Silva, HHM

Título da Revista

ISSN da Revista

Título de Volume

Editor

Elsevier B.V.

Resumo

An iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties of general deferred correction schemes which are based on implicit Runge-Kutta methods is given and results which are analogous to those obtained for initial value problems are derived. A revised definition of symmetry is presented and this ensures that each deferred correction produces an optimal increase in order. Finally, some numerical results are given to demonstrate the superior performance of Lobatto formulae compared with mono-implicit formulae on stiff two-point boundary value problems. (C) 1998 Elsevier B.V. Ltd. All rights reserved.

Descrição

Palavras-chave

deferred correction, Lobatto formulae, symmetry, Two-point boundary value problems

Como citar

Computers & Mathematics With Applications. Oxford: Pergamon-Elsevier B.V., v. 36, n. 10-12, p. 59-69, 1998.