Troesch’s problem solved by Sinc methods

Maha Youssef and Gerd Baumann

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 162, issue C, 31-44

Abstract: In this paper, we apply Sinc methods to compute the approximate solution of Troesch’s problem which is a highly sensitive, singular, and nonlinear boundary problem. The methods applied to Troesch’s equation use non-equidistant interpolation points generated by conformal maps, also called Sinc points. We demonstrate that Sinc methods are highly effective and compare our results with those computed by other methods. Sinc methods provide an efficient, accurate and reliable approximations of singular problems.

Keywords: Troesch’s problem; Lagrange interpolation; Sinc methods; Collocation method; Nonlinear BVPs (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:162:y:2019:i:c:p:31-44

DOI: 10.1016/j.matcom.2019.01.003

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