𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Damping and phase analysis for some methods for solving second-order ordinary differential equations

✍ Scribed by I. Gladwell; R. M. Thomas

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
459 KB
Volume
19
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider numerical methods for initial value problems for second‐order systems of ordinary differential equations, analysing them by applying them to the test equation We discuss conditions which ensure an oscillatory numerical solution and the desirability of such a property. We also use a slightly more general test equation to derive conditions which ensure that the numerical forced oscillation is in phase with the true forced oscillation.

To illustrate the theory, we consider the damping and phase properties of some frequently used methods.

πŸ“œ SIMILAR VOLUMES

Rational Chebyshev collocation method fo
Rational Chebyshev collocation method for solving higher-order linear ordinary differential equations
✍ Mehmet Sezer; Mustafa GΓΌlsu; Bekir Tanay πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 201 KB

A collocation method to find an approximate solution of higher-order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev (RC) Tau method and Taylor-Chebyshev collocation methods. The solution is obtai