A Galerkin Finite Elements Method for A Model Problem
Öz
This study is going to deal with the application of the Galerkin finite elements method in order to find the approximate numerical solutions of a model problem based on Hermite B-Spline basis functions, which have been widely used in recent years. Along with this study, it is aimed to contribute a new study to the literature based on Hermite B-spline basis functions, which differ from the classical B-spline basis functions commonly used in the literature, by using the Galerkin finite elements method. With the current study, it is also aimed to apply the presented method and Hermite B-spline basis fucntions to a wide range of ordinary differential equations and/or partial differential equations even fractional order differential equations. Therefore, it is considered to be a preliminary study for fast reaction or slow reaction problems encountered in many different fields of engineering.
Anahtar Kelimeler
Hermite Galerkin Method (HGM), Finite Element Method (FEM), Differential Equation, Error Norms
Kaynakça
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