Sains Malaysiana 44(3)(2015): 473–482
Zero-Dissipative
Trigonometrically Fitted Hybrid Method for Numerical Solution of Oscillatory
Problems
(Kaedah Hibrid Penyuaian Trigonometri Lesapan-Sifar untuk
Penyelesaian Berangka Masalah Berayun)
YUSUF DAUDA JIKANTORO, FUDZIAH ISMAIL*
& NORAZAK SENU
Department
of Mathematics and Institute for Mathematical Research, Universiti Putra
Malaysia
Serdang
43400, Selangor Darul Ehsan, Malaysia
Diserahkan: 7 Januari 2014/Diterima: 3 Oktober 2014
ABSTRACT
In this paper, an improved trigonometrically fitted
zero-dissipative explicit two-step hybrid method with fifth algebraic order is
derived. The method is applied to several problems which solutions are
oscillatory in nature. Numerical results obtained are compared with existing
methods in the scientific literature. The comparison shows that the new method
is more effective and efficient than the existing methods of the same order.
Keywords: Dispersion; hybrid method; oscillatory problems;
oscillatory solution; trigonometrically fitted
ABSTRAK
Dalam kertas ini, suatu penyuaian trigonometri lesapan sifar
kaedah hibrid dua langkah penambahbaikan peringkat kelima diterbitkan. Kaedah
ini digunakan untuk beberapa masalah yang penyelesaiannya berayun. Keputusan berangka
yang diperoleh dibandingkan dengan kaedah sedia ada dalam maklumat saintifik.
Perbandingan tersebut menunjukkan kaedah yang yang baharu ini adalah lebih
efektif dan cekap berbanding kaedah sedia ada dengan peringkat yang sama.
Kata kunci: Kaedah hibrid; masalah berayun;
penyelesaian berayun; penyuaian trigonmetri; serakan
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*Pengarang
untuk surat-menyurat; email: fudziah_i@yahoo.com.my
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