Open AccessA numerical technique for solving a class of nonlinear singularly perturbed boundary value problems
Author(s) -
Ali Barati,
Mohammad Nabati
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2110353b
Subject(s) - sinc function , mathematics , singular boundary method , nonlinear system , singular perturbation , mathematical analysis , boundary value problem , boundary layer , numerical analysis , exponential function , uniform convergence , boundary (topology) , finite element method , boundary element method , computer science , computer network , physics , bandwidth (computing) , quantum mechanics , thermodynamics
In this work, we have studied a numerical scheme based on Sinc collocation method to solve a class of nonlinear singularly perturbed boundary value problems. The solution of the problems exhibit a boundary layer on the both sides or one side of the domain due to the presence of perturbation parameter ?. The Sinc method can control the oscillations in computed solutions at boundary layer regions naturally because the distribution of Sinc points is denser at near the boundaries. The convergence analysis is discussed and the method is shown to be an exponential convergent. The numerical results support the theoretical results and illustrate the efficiency and accuracy of the method compared with the results in the existing methods.