EventsThe 1st International Online Conference on Mathematics and Applications
Published
This submission belongs to the session S12. Computational Mathematics of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarJuan Torregrosa
Citation
Yusuf Dauda Jikantoro, Ishaku Ma'ali Aliyu, Ismail Musa, Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14411
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Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems

Ishaku Ma'ali Aliyu 2
Ismail Musa 2
1. Ibrahim Badamasi Babangida University, Lapai, Nigeria, Malaysia
2. Ibrahim Badamasi Babangida University, Lapai, Nigeria
Abstract

Presented in this work is a trigonometrically fitted scheme based on a class of improved hybrid method for the numerical integration of oscillatory problems. The trigonometric conditions are constructed through which a third algebraic order scheme is derived. Numerical properties of the scheme are analyzed. Numerical experiment is conducted to validate the scheme. Results obtained reveal the superiority of the scheme over its equals in the literature.

Keywords
oscillatory solution
numerical scheme
trigonometrically fitted
hybrid method
trigonometric conditions
oscillatory problem.
Manuscript
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