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

Abdulkafi Mohammed Saeed | Zendy; Badiea Abdulkarem Mohammed | Zendy

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

Author(s) -

Abdulkafi Mohammed Saeed,

Badiea Abdulkarem Mohammed

Publication year - 2017

Publication title -

journal of asian scientific research

Language(s) - English

Resource type - Journals

eISSN - 2226-5724

pISSN - 2223-1331

DOI - 10.18488/journal.2.2017.77.263.270

Subject(s) - preconditioner , burgers' equation , discretization , mathematics , iterative method , nonlinear system , finite difference , scheme (mathematics) , finite difference method , numerical analysis , mathematical analysis , mathematical optimization , partial differential equation , physics , quantum mechanics

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.

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