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Medientyp:
E-Artikel
Titel:
An Effective Numerical Approach Based on Cubic Hermite B-spline Collocation Method for Solving the 1D Heat Conduction Equation
Beteiligte:
Kutluay, Selçuk;
Yağmurlu, Nuri;
Karakaş, Ali Sercan
Erschienen:
New Trends in Mathematical Science, 2022
Erschienen in:
New Trends in Mathematical Science (2022)
Sprache:
Englisch
DOI:
10.20852/ntmsci.2022.485
ISSN:
2147-5520
Entstehung:
Anmerkungen:
Beschreibung:
This article is going to deal with the numerical solutions about the most vital problem arising in nature; namely the heatconduction equation given in one-dimension. For this aim, we are going to use cubic Hermite B-spline finite elements based oncollocation method. Then, the algorithm of the method has been produced and the stability analysis has also been examined viaFourier stability method. Furthermore, a comparative study between the approximate and exact solutions has been used to demonstratethe accuracy and efficiency of the proposed scheme. The newly obtained results clearly show that the present scheme is a reliable andaccurate one and may even be used successfully to find approximate solutions of numerous nonlinear problems encountering widely inmany applied sciences.