TY  - JOUR
TI  - A performance assessment of an HDG method for second-order Fredholm
integro-differential equation: existence-uniqueness and approximation
AB  - In this paper, we obtain the existence–uniqueness of solution to the second-order linear Fredholm integrodifferential equation (FIDE) with Dirichlet boundary condition by hybridizable discontinuous Galerkin (HDG) method.
A key property of these methods is to eliminate all internal degrees of freedom and to construct a linear system that only
includes globally coupled unknowns at the element interfaces. After designing and implementing HDG algorithm, we
provide some necessary and sufficient conditions based on the stabilization parameter and kernel function to guarantee
the existence-uniqueness of the approximate solution. Then, some numerical examples are carried out to assess the
performance of the present method. When comparing with existing some methods in literature, the experimental studies
verify the reliability and feasibility of the HDG method for the problem under consideration.
AU  - Karaaslan, Mehmet Fatih
DO  - 10.3906/mat-2102-18
PY  - 2021
JO  - Turkish Journal of Mathematics
VL  - 45
IS  - 5
SN  - 1300-0098
SP  - 2269
EP  - 2281
DB  - TRDizin
UR  - http://search/yayin/detay/528605
ER  -