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A New Approach on Numerical Solutions of Burgers Equation Using PMEDG Iterative Method

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  • Abdulkafi Mohammed Saeed
  • Badiea Abdulkarem Mohammed

Abstract

Modified Explicit Decoupled Group (MEDG) scheme from the rotated finite difference discretization to the numerical solution of the nonlinear steady two dimensional Burgers' Equation introduced by Saeed [1]. The objective of this paper is to develop the MEDG method in combination with suitable preconditioned iterative scheme for solving the Burgers' Equation. Numerical experiments are carried out to confirm the effectiveness of the preconditioner in terms of number of iterations and execution timings. Comparison with its unpreconditioned counterpart will also be reported.

Suggested Citation

  • Abdulkafi Mohammed Saeed & Badiea Abdulkarem Mohammed, 2017. "A New Approach on Numerical Solutions of Burgers Equation Using PMEDG Iterative Method," Journal of Asian Scientific Research, Asian Economic and Social Society, vol. 7(7), pages 263-270.
    • Handle: RePEc:asi:joasrj:v:7:y:2017:i:7:p:263-270:id:3827
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