title: On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations.
abstract: 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. Moreover, solving of convection-diffusion equations has 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. Numerical experiment shows a good improvement on the convergence rate and the efficiency of this method.
authors.affiliation: Department of Applied Mathematics, Islamic Azad University, Tonekabon Branch, Tonekabon, Iran.
authors.forename: S A
authors.initials: SA
authors.lastname: Edalatpanah
authors.affiliation: Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran.
authors.forename: M M
authors.initials: MM
authors.lastname: Rashidi