Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution
โ Scribed by T.E Simos
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 399 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed in this paper. This method is based on a dissipative explicit two-step method developed recently by Tsitouras [1]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one to produce numerical methods for the solution of second-order linear initial value problems (IVPs) with oscillating solutions. (~) 2004 Elsevier Ltd. All rights reserved.
๐ SIMILAR VOLUMES
In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42].