An Innovative Technique for Solving Singularly Perturbed Problems with Integral Boundary Conditions on the Non-Uniform Mesh
Year: 2024
Type: article
Abstract: We investigate an innovative numerical method for solving linear singularly perturbed problems with integral boundary conditions. Firstly, proving a uniformly convergent numerical method for solving the singularly perturbed problem is the main goal of this problem. Secondly, a piecewise equidistant mesh is used to generate the finite difference scheme. Next, the difference technique's stability and convergence analysis are covered. Lastly, two test instances' numerical results are shown.
Source: DergiPark (Istanbul University)
Authors: Temel, Zelal, Çakır, Musa
Institution: Van Yüzüncü Yıl Üniversitesi
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414744715
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