TY  - JOUR
T1  - Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers
AU  - Durmaz, Muhammet Enes
AU  - Çakır, Musa
AU  - Amirali, Gabil
PY  - 2022
DA  - December
Y2  - 2022
DO  - 10.31801/cfsuasmas.1072728
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 954
EP  - 967
VL  - 71
IS  - 4
LA  - en
AB  - The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.
KW  - Finite difference method
KW  - Fredholm integro-differential equation
KW  - singular perturbation
KW  - uniform convergence
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UR  - https://doi.org/10.31801/cfsuasmas.1072728
L1  - https://dergipark.org.tr/en/download/article-file/2250119
ER  -