- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- Numerical solutions of Troesch and Duffing equations by Taylor wavelets
Numerical solutions of Troesch and Duffing equations by Taylor wavelets
Authors : Gökçe Özaltun, Sevin Gümgüm
Pages : 292-302
Doi:10.15672/hujms.1063791
View : 10 | Download : 3
Publication Date : 2023-03-31
Article Type : Research
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