Trigonometrically-fitted second derivative method for oscillatory problems

ABSTRACT: A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product...

Descripción completa

Detalles Bibliográficos
Autores principales: Ngwane, Fidele Fouogang, Jator, Samuel Nemsefor
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102702/
https://www.ncbi.nlm.nih.gov/pubmed/25045607
http://dx.doi.org/10.1186/2193-1801-3-304
Descripción
Sumario:ABSTRACT: A continuous Trigonometrically-fitted Second Derivative Method (CTSDM) whose coefficients depend on the frequency and stepsize is constructed using trigonometric basis functions. A discrete Trigonometrically-fitted second derivative method (TSDM) is recovered from the CTSDM as a by-product and applied to solve initial value problems (IVPs) with oscillating solutions. We discuss the stability properties of the TSDM and present numerical experiments to demonstrate the efficiency of the method. AMS SUBJECT CLASSIFICATION: 65L05; 65L06

Ejemplares similares