TY  - JOUR
T1  - Extra Derivative Multistep Methods with Trigonometric-Fitting for
Oscillatory Problems
AU - Zulfa Ahmad, Sufia AU - Yousif Turki, Mohamed AU - Ismail, Fudziah AU - Senu, Norazak 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 7
SP  - 2230
EP  - 2239
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.2230.2239
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.2230.2239
KW  - Linear multistep method
KW  -collocation method
KW  -trigonometrically-fitted
KW  -oscillatory problems
KW  -accuracy
KW  -different equation
AB  - 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.
ER  -