On solution of ordinary differential equations by using HWCM, ADM and RK4
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Haar Wavelet, Adomian Decomposition Method, Runge-Kutta Method, Collocation Point, Haar Wavelet Method, Numerical-Solution
Kaynak
International Journal of Modern Physics C
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
33
Sayı
10
