Numerical solutions of Troesch and Duffing equations by Taylor wavelets

Year 2023, Volume: 52 Issue: 2, 292 - 302, 31.03.2023

Gökçe Özaltun Sevin Gümgüm

https://doi.org/10.15672/hujms.1063791

Abstract

The aim of this study is to obtain accurate numerical results for the Troesch and Duffing equations by using Taylor wavelets. Important features of the method include easy implementation and simple calculation. The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables. One of the important variable is the resolution parameter which enables to use low degree polynomials and decrease the computational cost. Results show that the proposed method yields highly accurate solutions by using quite low degree polynomials.

Keywords

Taylor wavelets, Troesch equation, Duffing equation

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