Browsing by Author "Atay, Mehmet Tank"

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    An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
    (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019) Cengizci, Suleyman; Natesan, Srinivasan; Atay, Mehmet Tank; AGÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü;
    This article focuses on the numerical approximate solution of singularly perturbed systems of second-order reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of problems, a numerical-asymptotic hybrid method has been used. In this hybrid approach, an efficient asymptotic method, the so-called successive complementary expansion method (SCEM) is employed first, and then a numerical method based on finite differences is applied to approximate the solution of corresponding singularly perturbed reaction-diffusion systems. Two illustrative examples are provided to demonstrate the efficiency, robustness, and easy applicability of the present method with convergence properties.