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author:

Hong, Qianying (Hong, Qianying.) [1] (Scholars:洪倩颖) | Lai, Ming-Jun (Lai, Ming-Jun.) [2] | Wang, Jingyue (Wang, Jingyue.) [3] (Scholars:王靖岳)

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Abstract:

We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm. Finally computational experiments are shown to demonstrate the convergence of the finite difference scheme. © The Author(s) 2021.

Keyword:

Convergence of numerical methods Finite difference method Iterative methods

Community:

  • [ 1 ] [Hong, Qianying]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China
  • [ 2 ] [Lai, Ming-Jun]Department of Mathematics, University of Georgia, Athens, United States
  • [ 3 ] [Wang, Jingyue]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China

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Source :

Journal of Algorithms and Computational Technology

ISSN: 1748-3018

Year: 2021

Volume: 15

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JCR@2021

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JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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Chinese Cited Count:

30 Days PV: 8

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