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Embedded Runge-Kutta methods for periodic initial-value problems

✍ Scribed by T.E. Simos

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
493 KB
Volume
35
Category
Article
ISSN
0378-4754

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✦ Synopsis

Some embedded

Runge-Kutta methods with minimal phase-lag for second-order periodic initial-value problems are developed.

It should be noted that these embedded methods are based on the Runge-Kutta methods of algebraic order three, and on a new error estimation introduced in this paper. The numerical results indicate that these new methods are efficient for the numerical solution of differential equations with periodical solution, using variable step-size.

πŸ“œ SIMILAR VOLUMES

Runge–Kutta methods for first-order peri
Runge–Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments
✍ Z.W. Yang; M.Z. Liu; Juan J. Nieto πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 772 KB

## Green's function Comparison theorems a b s t r a c t In this paper we deal with the numerical solutions of Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments. The numerical solution is given by the numerical Green's function. It