Numerical Solutions of Troesch and Duffing Equations by Taylor Wavelets
Loading...
Files
Date
2023
Authors
Özaltun, Gökçe
Gümgüm, Sevin
Journal Title
Journal ISSN
Volume Title
Publisher
Hacettepe University
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
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 imple-mentation and simple calculation. The effectiveness and accuracy of the applied method is illustrated by solving these problems for several variables. One of the important vari-able 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. © 2023, Hacettepe University. All rights reserved.
Description
Keywords
Duffing equation, Taylor wavelets, Troesch equation, Matematik, Taylor wavelets;Troesch equation;Duffing equation, Mathematical Sciences, Numerical solution of boundary value problems involving ordinary differential equations, Troesch equation, Duffing equation, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for wavelets, Taylor wavelets
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
1
Source
Hacettepe Journal of Mathematics and Statistics
Volume
52
Issue
2
Start Page
292
End Page
302
PlumX Metrics
Citations
Scopus : 8
Captures
Mendeley Readers : 1
SCOPUS™ Citations
8
checked on Mar 17, 2026
Web of Science™ Citations
6
checked on Mar 17, 2026
Page Views
8
checked on Mar 17, 2026
Downloads
10
checked on Mar 17, 2026
Google Scholar™
