Journal of Engineering and Applied Sciences
ISSN: Online 1818-7803ISSN: Print 1816-949x
Abstract
A set of new linear multistep method of order three and four with extra derivatives are developed for solving special second order ordinary differential equations. The extra derivatives are incorporated into the methods, so that, a more accurate numerical results can be obtained. The methods are developed using the sequence of Chebyshev polynomials as the basis function. The methods are then trigonometrically-fitted, so that, they are suitable for solving highly oscillatory problems arise from the special second order ordinary differential equations. Numerical experiments are carried out to show the efficiency and accuracy of the new methods in comparison with methods in the literature.
How to cite this article:
Sufia Zulfa Ahmad, Mohamed Yousif Turki, Fudziah Ismail and Norazak Senu. Extra Derivative Multistep Methods with Trigonometric-Fitting for
Oscillatory Problems.
DOI: https://doi.org/10.36478/jeasci.2019.2230.2239
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.2230.2239