2020-03-31T06:20:00Z
http://ijm2c.iauctb.ac.ir/?_action=export&rf=summon&issue=1132709
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
Determination of a Source Term in an Inverse Heat Conduction Problem by Radial Basis Functions
Muhammad
Arghand
In this paper, we propose a technique for determining a source term<br /> in an inverse heat conduction problem (IHCP) using Radial Basis Functions (RBFs). Because of being very suitable instruments, the RBFs have<br /> been applied for solving Partial Dierential Equations (PDEs) by some<br /> researchers. In the current study, a stable meshless method will be pro-<br /> posed for solving an (IHCP). The other advantage of the method is that<br /> can be applied to the problems with various types of boundary conditions.<br /> The results of numerical experiments are presented and compared with<br /> analytical solutions. The results demonstrate the reliability and efficiency of<br /> the proposed scheme.
Direct heat conduction problem
Inverse heat conduction problem
heat equation
Radial basis functions
2017
08
01
175
183
http://ijm2c.iauctb.ac.ir/article_663714_d7f9d20106c64ff061f9fe510f3c52fe.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
ABS-Type Methods for Solving $m$ Linear Equations in $frac{m}{k}$ Steps for $k=1,2,cdots,m$
Leila
Asadbeigi
Majid
Amirfakhrian
The ABS methods, introduced by Abaffy, Broyden and Spedicato, are<br />direct iteration methods for solving a linear system where the<br />$i$-th iteration satisfies the first $i$ equations, therefore a system of $m$ equations is solved in at most $m$ steps. In this<br />paper, we introduce a class of ABS-type methods for solving a full row<br />rank linear equations, where the $i$-th iteration solves the first<br />$3i$ equations. We also extended this method for $k$ steps. So,<br />termination is achieved in at most $left[frac{m+(k-1)}{k}right]$<br />steps. Morever in our new method in each iteration, we have the<br />the general solution of each iteration.
ABS methods
rank $k$ update
linear system
general solution of a system
general solution of an iteration
2017
08
01
185
207
http://ijm2c.iauctb.ac.ir/article_663713_505062ef06a631049efd48f7a6e9f721.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
A Third Order Iterative Method for Finding Zeros of Nonlinear Equations
Manijheh
Tavoosi
In this paper, we present a new modification of Newton's method<br /> for finding a simple root of a nonlinear equation. It has been<br /> proved that the new method converges cubically.
Newton's method
third-order convergency
iterative method
nonlinear equations
2017
08
01
209
216
http://ijm2c.iauctb.ac.ir/article_663715_e832e9fbdea505371dd7bbd9a8de1ef0.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
Solving a Class of Partial Differential Equations by Differential Transforms Method
Maryam
Fahimi
In this work, we find the differential transforms of the functions $tan$ and<br /> $sec$, and then we applied this transform on a class of partial differential equations involving $tan$ and<br /> $sec$.
Differential Transformation Method
Partial Differential Equation
Initial Condition
Differential Equations
2017
08
01
217
220
http://ijm2c.iauctb.ac.ir/article_663716_29ed5a86bed06e4476b19cdbf77b596f.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions
Sara
Hosseini
In this work, we consider the parabolic equation: $u_t-u_{xx}=0$.<br /> The purpose of this paper is to introduce the method of<br /> variational iteration method and radial basis functions for<br /> solving this equation. Also, the method is implemented to three<br /> numerical examples. The results reveal<br /> that the technique is very effective and simple.
Radial basis functions
Variational iteration method
, Parabolic equations
Partial Differential Equations
2017
08
01
221
229
http://ijm2c.iauctb.ac.ir/article_663717_1d70aa6762f9f62bf47b0d6a054d9894.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2017
7
3 (SUMMER)
A Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models
Soheila
Naghshband
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.
Nonlinear age-structured population models
Homotopy analysis mehod(HAM)
Nonlinearity
convergence
2017
08
01
231
237
http://ijm2c.iauctb.ac.ir/article_663718_a3556c3bab914e113bc19e1b88f7f612.pdf