Multigrid Solution For The Cauchy Problem Associated With Hel mholtz Type Equation On Non-Uniform Grids

Fazal Ghaffar (), Noor M. Hanafiah and S. Islam
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Fazal Ghaffar: Department of Mathematics Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan
Noor M. Hanafiah: Department of Basic Sciences University of Engineering and Technology Peshawar, Khyber Pakhtunkhwa, Pakistan.
S. Islam: Department of Mathematics Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan

Matrix Science Mathematic (MSMK), 2017, vol. 1, issue 2, 6-10

Abstract: In this paper, an HOC scheme with multigrid algorithm is developed for solving the Cauchy problem associated with two dimensional Helmholtz type equations. The suggested scheme has up to fourth order accuracy. Lastly, some numerical experiments are given to show the accuracy and performance of the proposed scheme.

Keywords: Helmholtz equation; Compactiterative schemes; Multigrid method; Cauchy problem Nonuniform grids. (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:1:y:2017:i:2:p:6-10

DOI: 10.26480/msmk.02.2017.06.10

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