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Article · IETE Journal of Research · June 28, 2021

Haar Wavelet Solution Analysis of Compound Pendulum-based Computational Electromagnetic Damping Oscillation Problem

Arun Kumar, Mohammad Hashmi, Abdul Quaiyum Ansari, Sultangali Arzykulov

Abstract

This paper reports the application of Haar wavelet algorithm in achieving the numerical solution of 2nd order computational electromagnetic problems related to dynamics of small, damped oscillations for compound pendulum based system. Flow chart of problem approximation using Haar wavelet has also been incorporated for the solution analysis. In this paper, a comparative analysis has been presented in the terms of efficiency and average computation cost of CPU for the numerical approximations obtained. The analysis shows that the Haar wavelet based techniques give results with less computation cost and more accurate approximations when compared to other numerical methods such as Taylor Series and Runge-Kutta available in literature.

Numerical methods for differential equationsMathematical and Computational MethodsElectromagnetic Simulation and Numerical MethodsHaar waveletcompound pendulumdamped oscillations

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