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Research Article Open access CC BY 4.0

A Numerical Integrator for Oscillatory Problems

Yusuf Dauda Jikantoro, Yahaya Badeggi Aliyu, Aliyu Alhaji Ishaku Ma’ali, Abdulkadir Abubakar, Ismail Musa

Asian Research Journal of Mathematics · pp. 1–10 · Published 8 Jun 2019

10.9734/arjom/2019/v14i130119

Abstract

Presented here is a numerical integrator, with sixth order of convergence, for solving oscillatory problems. Dispersion and dissipation errors are taken into account in the course of deriving the method. As a result, the method possesses dissipation of order infinity and dispersive of order six. Validity and effectiveness of the method are tested on a number of test problems. Results obtained show that the new method is better than its equals in the scientific literature. 

Dispersion dissipation oscillatory problems differential equations numerical experiment.

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