TY  - JOUR
TI  - A NUMERICAL METHOD ON BAKHVALOV SHISHKIN MESH
FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH
A BOUNDARY LAYER
AB  - We construct a finite difference scheme for a first-order linear singularly perturbed Volterra integro-differential equation (SPVIDE) on Bakhvalov-Shishkin mesh. For the discretization of the problem, we use the integral identities and deal with the emerging integrals terms with interpolating
quadrature rules which also yields remaining terms. The stability bound and
the error estimates of the approximate solution are established. Further, we
demonstrate that the scheme on Bakhvalov-Shishkin mesh is O(N−1
) uniformly convergent, where N is the mesh parameter. The numerical results are
also provided for a couple of examples.
AU  - GUCKIR CAKIR, HAYRIYE
AU  - CAKIR, FIRAT
AU  - Çakır, Musa
DO  - 10.31801/cfsuasmas.946910
PY  - 2022
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 71
IS  - 1
SN  - 1303-5991
SP  - 51
EP  - 67
DB  - TRDizin
UR  - http://search/yayin/detay/511709
ER  -