A robust septic hermite collocation technique for dirichlet boundary condition Heat conduction equation
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sciendo
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the current manuscript, approximate solution for 1D heat conduction equation will be sought with the Septic Hermite Collocation Method (SHCM). To achieve this goal, by means of the roots of both shifted Chebyschev and Legendre polynomials used at the inner collocation points, the pseudo code of the method is found out and applied using Matlab which is one of the widely utilized symbolic programming platforms. The unconditional stability of the scheme is shown by the traditional von-Neumann stability technique. To illustrate the accuracy and effectiveness of this newly current numerical scheme, a comparison among analytical and the computed numerical results is presented in tabular forms. It has been illustrated that the scheme is a both accurate and effective one and at the same time can be used in a successful way for finding out numerical solutions of several nonlinear problems as well as linear ones. © 2025 Selçuk Kutluay et al., published by Sciendo.
Açıklama
Anahtar Kelimeler
1D Heat equation, approximate solutions, finite elements method, septic hermite collocation method, stability analysis
Kaynak
International Journal of Mathematics and Computer in Engineering
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
3
Sayı
2
