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Derya Arslan
Derya Arslan

Public Documents 1
UNIFORM CONVERGENCE ANALYSIS OF FINITE DIFFERENCE METHOD FOR SEMILINEAR SINGULARLY PE...
Derya Arslan
musa cakir

Derya Arslan

and 1 more

April 27, 2020
An convenient numerical method for singularly perturbed problem with integral boundary conditions is proposed by using finite difference method. Firstly, the evaluations of the exact solution are given. Then difference scheme is constructed in Shishkin mesh. Finally, the convergence analysis of this method is done and obtained first order uniformly convergence with respect to perturbation parameter in discrete maximum norm. Numerical results are presented in support of the proposed method.

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