title: 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 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.
  
  
  METHODS
  65L05; 65L06.
authors.affiliation: Department of Mathematics, USC Salkehatchie, Allendale, SC 29810 USA.
authors.forename: Fidele Fouogang
authors.initials: FF
authors.lastname: Ngwane
authors.affiliation: Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044 USA.
authors.forename: Samuel Nemsefor
authors.initials: SN
authors.lastname: Jator
keywords: Oscillatory initial value problems; Stability; Trigonometrically-fitted second derivative method