A Numerical Study on the Difference Solution of Singularly Perturbed Semilinear Problem with Integral Boundary Condition

• Published in: Mathematical modelling and analysis Vol. 21; no. 5; pp. 644 - 658
• Main Author: Cakir, Musa
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 02.09.2016; Vilnius Gediminas Technical University
• Subjects: Boundary conditions; Boundary value problems; exponentially fitted difference scheme; Finite difference method; Finite element method; integral boundary condition; Integrals; Linear equations; Mathematical analysis; Mathematical models; Mathematical research; Norms; Perturbation theory; Shishkin mesh; Singular perturbation; uniformly convergence; integral boundary condition; Shishkin mesh; singular perturbation; exponentially fitted difference scheme; uniformly convergence

The present study is concerned with the numerical solution, using finite difference method on a piecewise uniform mesh (Shishkin type mesh) for a singularly perturbed semilinear boundary value problem with integral boundary condition. First we discuss the nature of the continuous solution of singula...