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Mean-Based Eficient Hybrid Numerical Method For Solving First-Order Ordinary Diferential Equations

Author(s)
Tulja Ram Department of Basic Sciences and Related Studies,MUET, Jamshoro, Sindh, Pakistan
Muhammad Anwar Solangi Department of Basic Sciences and Related Studies,MUET, Jamshoro, Sindh, Pakistan
Wajid Ali Shaikh Department of Mathematics & Statistics, QUEST,Nawabshah, Sindh, Pakistan
Asif Ali Shaikh Department of Basic Sciences and Related Studies,MUET, Jamshoro, Sindh,Pakistan
Abstract
The center of interest of this work is to introduce a mean-based eficient hybrid numerical method for solving firstorder ordinary diferential equations with initial conditions. This method is generated by the mean of the modified slope of modified Euler's method and the mean of main incremental functions of RK-2 method and a second-order contra harmonic mean method. The factors related to the numerical method have been analyzed to observe its performance and found that the method satisfies all its factors. It also performs with better accuracy than modified Euler's methods, a second stage second-order contra harmonic mean method, and RK-2 method. The proposed method performed with better accuracy than the existing methods, but it is also better workable on some other second-order well-known methods.
Publication Details
Page(s) 8-12
DOI 10.52584/QRJ.2001.02
Published Journal: Quaid-e-Awam University Research Journal of Engineering, Science and Technology, Volume: 20, Issue: 1, Year: 2022

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Keywords
RK-2 method, Initial value problems, Mean-based iterative method, Contra harmonic mean method, Euler's methods.
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