Title |
Trigonometrically-fitted second derivative method for oscillatory problems
|
---|---|
Published in |
SpringerPlus, June 2014
|
DOI | 10.1186/2193-1801-3-304 |
Pubmed ID | |
Authors |
Fidele Fouogang Ngwane, Samuel Nemsefor Jator |
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. |
Mendeley readers
The data shown below were compiled from readership statistics for 7 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
Country | Count | As % |
---|---|---|
Unknown | 7 | 100% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Lecturer | 2 | 29% |
Professor | 1 | 14% |
Student > Ph. D. Student | 1 | 14% |
Librarian | 1 | 14% |
Unknown | 2 | 29% |
Readers by discipline | Count | As % |
---|---|---|
Mathematics | 2 | 29% |
Agricultural and Biological Sciences | 1 | 14% |
Social Sciences | 1 | 14% |
Unknown | 3 | 43% |