Solvability of a Plane Integral Geometry Problem\ and a Solution Algorithm
Arif Amirov1, Mustafa Yildiz1, Zekeriya Ustaoglu1
Department of Mathematics, Faculty of Arts and Sciences, Zonguldak Karaelmas University, 67100, Zonguldak, Turkey. Email: amirov@karaelmas.edu.tr, mustafayildiz2002@hotmail.com, zekeriyaustaoglu@karaelmas.edu.tr
In this work we deal with solvability and aproximation to the solution of the two dimensional integral geometry problem for a family of regular curves of given curvature. Solvability of the problem is proved by using the Galerkin method and an algorithm is developed to compute the approximate solution of the problem.
Amirov, A., Yildiz, M., Ustaoglu, Z. (2009). Solvability of a Plane Integral Geometry Problem\ and a Solution Algorithm. The International Conference on Computational & Experimental Engineering and Sciences, 12(4), 115–124. https://doi.org/10.3970/icces.2009.012.115
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