What is it about?
In this paper, by the combination of HPM and preconditioning technique, we will present a new model for solving linear systems and apply this method to the above convection-diffusion equation.
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Why is it important?
The application of homotopy perturbation method (HPM) for solving systems of linear equations is further discussed and focused on a method for choosing an auxiliary matrix to improve the rate of convergence.
Perspectives
Moreover, the of convection-diffusion equations have been developed by HPM and the convergence properties of the proposed method have been analyzed in detail; the obtained results are compared with some other methods in the frame of HPM. The numerical experiment shows a good improvement on the convergence rate and the efficiency of this method.
Dr SA Edalatpanah
University of Guilan
Read the Original
This page is a summary of: On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations, International Scholarly Research Notices, January 2014, Hindawi Publishing Corporation,
DOI: 10.1155/2014/143512.
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