Trigonometrically Fitted Block Backward Differentiation Methods for First Order Initial Value Problems with Periodic Solution
Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 5 Sep 2018
10.9734/JAMCS/2018/42774Abstract
A family of Trigonometrically Fitted Backward Differentiation Formula (TBDF) whose coefficients depend on the frequency and step size for periodic initial value problems is presented. The method is constructed based on collocation techniques. The primary method of TBDF is obtained from its continuous version while the additional methods are derived from the derivative of the continuous version which are combined and applied in block form as simultaneous numerical integrators. The stability properties of the method are discussed and numerical experiments show that the TBDF is an accurate numerical integrator.
Cited by 3
Ridwanulahi Iyanda Abdulganiy, Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China, Shiping Wen · AIMS Mathematics · 2021
Khai Chien Lee, Norazak Senu, Ali Ahmadian · Mathematical Sciences · 2021
R. I. Abdulganiy, G. O. Inakoju, M. A. Gaffari · International Journal of Applied and Computational Mathematics · 2022
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