2017
7
3
27
0
Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions
2
2
In this paper, we propose a technique for determining a source term in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have been applied for solving Partial Dierential Equations (PDEs) by some researchers. In the current study, a stable meshless method will be pro posed for solving an (IHCP). The other advantage of the method is that can be applied to the problems with various types of boundary conditions. The results of numerical experiments are presented and compared with analytical solutions. The results demonstrate the reliability and efficiency of the proposed scheme.
1

175
183


Muhammad
Arghand
Iran
mu.arghand@gmail.com
Direct heat conduction problem
Inverse heat conduction problem
heat equation
Radial basis functions
ABSType Methods for Solving $m$ Linear Equations in $frac{m}{k}$ Steps for $k=1,2,cdots,m$
2
2
The ABS methods, introduced by Abaffy, Broyden and Spedicato, aredirect iteration methods for solving a linear system where the$i$th iteration satisfies the first $i$ equations, therefore a system of $m$ equations is solved in at most $m$ steps. In thispaper, we introduce a class of ABStype methods for solving a full rowrank linear equations, where the $i$th iteration solves the first$3i$ equations. We also extended this method for $k$ steps. So,termination is achieved in at most $left[frac{m+(k1)}{k}right]$steps. Morever in our new method in each iteration, we have thethe general solution of each iteration.
1

185
207


Leila
Asadbeigi
Hamadan Branch, Islamic Azad University
Hamadan Branch, Islamic Azad University
Iran
lbeigi14@yahoo.com


Majid
Amirfakhrian
IAUCTB
IAUCTB
Iran
amirfakhrian@iauctb.ac.ir
ABS methods
rank $k$ update
linear system
general solution of a system
general solution of an iteration
A Third Order Iterative Method for Finding Zeros of Nonlinear Equations
2
2
In this paper, we present a new modification of Newton's method for finding a simple root of a nonlinear equation. It has been proved that the new method converges cubically.
1

209
216


Manijheh
Tavoosi
Department of Mathematics; Islamic Azad University;Central Tehran Branch
Department of Mathematics; Islamic Azad University
Iran
manij_tavoosi@yahoo.com
Newton's method
thirdorder convergency
iterative method
nonlinear equations
Solving a Class of Partial Differential Equations by Differential Transforms Method
2
2
In this work, we find the differential transforms of the functions $tan$ and $sec$, and then we applied this transform on a class of partial differential equations involving $tan$ and $sec$.
1

217
220


Maryam
Fahimi
Islamic Azad University&lrm;, Dezful Branch
Islamic Azad University&lrm;, Dezful
Iran
mar_fahimi@yahoo.com
Differential Transformation Method
Partial Differential Equation
Initial Condition
Differential Equations
Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions
2
2
In this work, we consider the parabolic equation: $u_tu_{xx}=0$. The purpose of this paper is to introduce the method of variational iteration method and radial basis functions for solving this equation. Also, the method is implemented to three numerical examples. The results reveal that the technique is very effective and simple.
1

221
229


Sara
Hosseini
Qazvin Branch, Islamic Azad University
Qazvin Branch, Islamic Azad University
Iran
s_hosseini66@yahoo.com
Radial basis functions
Variational iteration method
, Parabolic equations
Partial Differential Equations
A Note on the Convergence of the Homotopy Analysis Method for Nonlinear AgeStructured Population Models
2
2
In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear agestructured population models.
1

231
237


Soheila
Naghshband
Isalamic azad university, West Tehran branch
Isalamic azad university, West Tehran branch
Iran
s_naghshband@yahoo.com
Nonlinear agestructured population models
Homotopy analysis mehod(HAM)
Nonlinearity
convergence