2013
1
0
0
0
A new model of (I+S)type preconditioner for system of linear equations
2
2
In this paper, we design a new model of preconditioner for systems of linear equations. The convergence properties of the proposed methods have been analyzed and compared with the classical methods. Numerical experiments of convectiondiffusion equations show a good im provement on the convergence, and show that the convergence rates of proposed methods are superior to the other modified iterative methods.
1

1
14


Hashem
Saberi Najafi
Iran
hnajafi@guilan.ac.ir


Seyyed Ahmad
Edalatpanah
Iran
saedalatpanah@gmail.com


Amir Hossein
Refahi Sheikhani
Iran
ah_refahi@yahoo.com
Global conjugate gradient method for solving large general Sylvester matrix equation
2
2
In this paper, an iterative method is proposed for solving large general Sylvester matrix equation $AXB+CXD = E$, where $A in R^{ntimes n}$ , $C in R^{ntimes n}$ , $B in R^{stimes s}$ and $D in R^{stimes s}$ are given matrices and $X in R^{stimes s}$ is the unknown matrix. We present a global conjugate gradient (GLCG) algo rithm for solving linear system of equations with multiple righthand sides. By defining a linear matrix operator and imposing some conditions on this operator, we demonstrate how to employ the GLCG algorithm for solving large general Sylvester matrix equation. Finally, some numerical experi ments are given to illustrate the efficiency of the method.
1

15
27


Saeed
Karimi
Iran
karimi@pgu.ac.ir
Solving a class of nonlinear twodimensional Volterra integral equations by using twodimensional triangular orthogonal functions
2
2
In this paper, the twodimensional triangular orthogonal functions (2DTFs) are applied for solving a class of nonlinear twodimensional Volterra integral equations. 2DTFs method transforms these integral equations into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the results with the other numerical methods.
1

28
40


Farshid
Mirzaee
Iran
f.mirzaee@malayeru.ac.ir
Application of Laplace decomposition method for BurgersHuxley and BurgersFisher equations
2
2
In this paper, we apply the Laplace decomposition method to obtain a series solutions of the BurgersHuxley and BurgersFisher equations. The technique is based on the application of Laplace transform to nonlinear partial differential equations. The method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the Adomian polynomials. We compare the numerical results of the proposed method with those of some available methods.
1

41
67


Mohammad Reza
Yaghouti
Iran
yaghouti@guilan.ac.ir


Ali
Zabihi
Iran
alizabihi90@yahoo.com
A modified homotopy perturbation method to periodic solution of a coupled integrable dispersionless equation
2
2
In this paper, a reliable approach is introduced to approximate periodic solutions of a system of coupled integrable dispersionless. The system is firstly, transformed into an ordinary differential equation by wave transformation. The solution of ODE is obtained by the homotopy perturbation method. To show the periodic behavior of the solution, a modification based on the Laplace transforms and Pade approximation, known as aftertreatment technique, is proposed. The angular frequencies are compared with the exact frequency. Comparison of the approximated results and exact one shows a good agreement.
1

68
75


Jafar
Biazar
Iran
biazar@guilan.ac.ir


Mohammad
Hosami
Iran
mhosami@phd.guilan.ac.ir
On the numerical solution of Urysohn integral equation using Legendre approximation
2
2
Urysohn integral equation is one of the most applicable topics in both pure and applied mathematics. The main objective of this paper is to solve the Urysohn type Fredholm integral equation. To do this, we approximate the solution of the problem by substituting a suitable truncated series of the well known Legendre polynomials instead of the known function. After discretization of the problem on the given integral interval, by using the proposed procedure the original integral equation is converted to a linear algebraic system. Now, the solution of the resulting system yields the unknown Legendre coefficients. Finally, two numerical examples are given to show the effectiveness of the proposed method.
1

76
84


Ahmad
Jafarian
Iran
jafarian5594@yahoo.com


Zahra
Esmailzadeh
Iran
zahra 1324@hotmail.com