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P-stable singlestep methods for periodic initial-value problems involving second-order differential equations

โœ Scribed by M. K. Jain; R. K. Jain; U. Anantha Krishnaiah

Publisher
Springer
Year
1979
Tongue
English
Weight
330 KB
Volume
13
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

A class of P-stable singlestep methods is discussed for solving initial-value problems involving second-order differential equations. The methods depend upon a parameter p > 0 and reduce to the classical methods for p = 0. A few choices of p have been discussed for which the methods are P-stable. Further, when p is chosen for linear problems as the square of the frequency of the periodic solution, the methods are P-stable. Numerical results for both linear and non-linear problems show that the P-stability is an important requirement for determining periodic numerical solutions of second-order differential equations.

๐Ÿ“œ SIMILAR VOLUMES

Adaptive methods for periodic initial va
Adaptive methods for periodic initial value problems of second order differential equations
โœ U.Anantha Krishnaiah ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

In this paper numerical methods involving higher order derivatives for the solution of periodic initial value problems of second order differential equations are derived. The methods depend upon a parameter p > 0 and reduce to their classical counter parts as p -~ 0. The methods are periodically sta