Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers

Authors : Muhammet Enes DURMAZ, Musa ÇAKIR, Gabil AMİRALİ

Pages : 954-967

Doi:10.31801/cfsuasmas.1072728

View : 16 | Download : 29

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :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.
Keywords : Finite difference method, Fredholm integro differential equation, singular perturbation, uniform convergence