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Trigonometrically Fitted Improved Hybrid Method for Oscillatory Problems
Published:
28 April 2023
by MDPI
in The 1st International Online Conference on Mathematics and Applications
session Computational Mathematics
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.
