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Browsing by Author "Temel, Z."

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    An Innovative Technique for Solving Singularly Perturbed Problems With Integral Boundary Conditions on the Non-Uniform Mesh
    (Prof. Dr. Mehmet Zeki Sarıkaya, 2025) Temel, Z.; Cakir, M.
    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. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.