ORIGINAL_ARTICLE
Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions
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.
http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
175
183
Direct heat conduction problem
Inverse heat conduction problem
heat equation
Radial basis functions
Muhammad
Arghand
mu.arghand@gmail.com
true
1
LEAD_AUTHOR
ORIGINAL_ARTICLE
ABS-Type Methods for Solving $m$ Linear Equations in $\frac{m}{k}$ Steps for $k=1,2,\cdots,m$
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 ABS-type 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 $\left[\frac{m+(k-1)}{k}\right]$steps. Morever in our new method in each iteration, we have thethe general solution of each iteration.
http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
185
207
ABS methods
rank $k$ update
linear system
general solution of a system
general solution of an iteration
Leila
Asadbeigi
lbeigi14@yahoo.com
true
1
Hamadan Branch, Islamic Azad University
Hamadan Branch, Islamic Azad University
Hamadan Branch, Islamic Azad University
AUTHOR
Majid
Amirfakhrian
amirfakhrian@iauctb.ac.ir
true
2
IAUCTB
IAUCTB
IAUCTB
LEAD_AUTHOR
ORIGINAL_ARTICLE
A Third Order Iterative Method for Finding Zeros of Nonlinear Equations
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.
http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
209
216
Newton's method
third-order convergency
iterative method
nonlinear equations
Manijheh
Tavoosi
manij_tavoosi@yahoo.com
true
1
Department of Mathematics; Islamic Azad University;Central Tehran Branch
Department of Mathematics; Islamic Azad University;Central Tehran Branch
Department of Mathematics; Islamic Azad University;Central Tehran Branch
LEAD_AUTHOR
ORIGINAL_ARTICLE
Solving a Class of Partial Differential Equations by Differential Transforms Method
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 $\sec$.
http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
217
220
Differential Transformation Method
Partial Differential Equation
Initial Condition
Differential Equations
Maryam
Fahimi
mar_fahimi@yahoo.com
true
1
Islamic Azad University&lrm;, Dezful Branch
Islamic Azad University&lrm;, Dezful Branch
Islamic Azad University&lrm;, Dezful Branch
LEAD_AUTHOR
ORIGINAL_ARTICLE
Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions
In this work, we consider the parabolic equation: $u_t-u_{xx}=0$. 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.
http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
221
229
Radial basis functions
Variational iteration method
, Parabolic equations
Partial Differential Equations
Sara
Hosseini
s_hosseini66@yahoo.com
true
1
Qazvin Branch, Islamic Azad University
Qazvin Branch, Islamic Azad University
Qazvin Branch, Islamic Azad University
LEAD_AUTHOR
ORIGINAL_ARTICLE
A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models
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 age-structured population models.
http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf
2017-08-01T11:23:20
2020-04-10T11:23:20
231
237
Nonlinear age-structured population models
Homotopy analysis mehod(HAM)
Nonlinearity
convergence
Soheila
Naghshband
s_naghshband@yahoo.com
true
1
Isalamic azad university, West Tehran branch
Isalamic azad university, West Tehran branch
Isalamic azad university, West Tehran branch
LEAD_AUTHOR