On solution of ordinary differential equations by using HWCM, ADM and RK4

Yasemin Bakir and Oya Mert ()
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Yasemin Bakir: Department of Computer Engineering, DoÄŸuÅŸ University, Istanbul, Turkey
Oya Mert: Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ, Turkey

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 10, 1-11

Abstract: The Haar wavelet collocation approach (HWCM) is an impressive numerical method for solving linear initial value problems when compared to the existing numerical methods (Adomian decomposition method (ADM) & Runge–Kutta method (RK4)). The objective of this study is to use the Haar-wavelet technique, Adomian decomposition technique (ADM) and Runge–Kutta (RK4) method to achieve the numerical solution of second-order ordinary differential equations. The proposed methods are applied to three different problems and the numerical results show that the HWCM has better agreement with analytic solutions than the other numerical methods.

Keywords: Haar wavelet; adomian decomposition method; Runge–Kutta method; collocation point (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122501352

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