Higher order dispersive and dissipative hybrid method for the numerical solution of oscillatory problems |
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| Authors: | Y.D. Jikantoro F. Ismail N. Senu |
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| Affiliation: | 1. Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia;2. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia |
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| Abstract: | In this paper, an improved explicit two-step hybrid method with fifth algebraic order is derived. The new method possesses dispersion of order 10 and dissipation of order seven, which is first of its kind in the literature. Numerical experiment reveals the superiority of the new method for solving oscillatory or periodic problems over several methods of the same algebraic order. |
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| Keywords: | oscillatory solution dispersion dissipation hybrid method initial value problem oscillatory problem |
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