Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions
Muhammad
Arghand
author
text
article
2017
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
175
183
http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf
ABS-Type Methods for Solving $m$ Linear Equations in $\frac{m}{k}$ Steps for $k=1,2,\cdots,m$
Leila
Asadbeigi
Hamadan Branch, Islamic Azad University
author
Majid
Amirfakhrian
IAUCTB
author
text
article
2017
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
185
207
http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf
A Third Order Iterative Method for Finding Zeros of Nonlinear Equations
Manijheh
Tavoosi
Department of Mathematics; Islamic Azad University;Central Tehran Branch
author
text
article
2017
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
209
216
http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf
Solving a Class of Partial Differential Equations by Differential Transforms Method
Maryam
Fahimi
Islamic Azad University&lrm;, Dezful Branch
author
text
article
2017
eng
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 $\sec$.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
217
220
http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf
Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions
Sara
Hosseini
Qazvin Branch, Islamic Azad University
author
text
article
2017
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
221
229
http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf
A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models
Soheila
Naghshband
Isalamic azad university, West Tehran branch
author
text
article
2017
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
7
v.
3 (SUMMER)
no.
2017
231
237
http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf