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

Author

Listed:
  • Fazal Ghaffar

    (Department of Mathematics Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan)

  • Noor Badshah

    (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)

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.

Suggested Citation

  • Fazal Ghaffar & Noor Badshah & S. Islam, 2017. "Multigrid Solution For The Cauchy Problem Associated With Hel mholtz Type Equation On Non-Uniform Grids," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(2), pages 6-10, November.
    • Handle: RePEc:zib:zbmsmk:v:1:y:2017:i:2:p:6-10
    DOI: 10.26480/msmk.02.2017.06.10
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    References listed on IDEAS

    as
    1. Fazal Ghaffar & Noor Badshah & Saeed Islam, 2014. "Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, August.
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