eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
239
254
663719
Perishable Inventory Model with Retrial Demands, Negative Customers and Multiple Working Vacations
Vijaya Laxmi Pikkala
vijaya_iit2003@yahoo.co.in
1
Soujanya M.L.
logintosouji@gmail.com
2
Department of Applied Mathematics, Andhra University, Visakhapatnam, India. Pin- 530003
Department of Applied mathematics, Andhra University, Visakhapatnam, India. 530003
This paper presents the analysis of a continuous review perishable<br /> inventory system wherein the life time of each item follows an<br /> exponential distribution. The operating policy is (s,S) policy<br /> where the ordered items are received after a random time which<br /> follows exponential distribution. Primary arrival follows Poisson<br /> distribution and they may turnout to be positive or negative and<br /> then enter into the orbit. The orbiting demands compete their<br /> service according to exponential distribution. The server takes<br /> multiple working vacations at zero inventory. We assume that<br /> the vacation time, service times both during regular busy period<br /> and vacation period are exponentially distributed. Matrix analytic<br /> method is used for the steady state distribution of the model.<br /> Various performance measures and cost analysis are shown with<br /> numerical results.
http://ijm2c.iauctb.ac.ir/article_663719_74a04f952743d47057405a453e8ee2f5.pdf
Perishable inventory
(s,S) policy
Retrial demands
Negative customers
Multiple working vacations
Matrix analytic method
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
255
263
663720
A Note on Solving Prandtl's Integro-Differential Equation
Atta Dezhbord
dezhbord22.ata@gmail.com
1
Taher Lotfi
lotfi@iauh.ac.ir
2
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan 65138, Iran
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan 65138, Iran
A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its advantages are that the representation of the exact solution is obtained in a reproducing kernel Hilbert space and accuracy in numerical computation is higher. On the other hand, the approximate solution and its derivatives converge uniformly to the exact solution and its derivatives. The final numerical experiments illustrate the method is efficient.
http://ijm2c.iauctb.ac.ir/article_663720_6a00cedc563dbd4cbf3740983dbeadfa.pdf
Reproducing Kernel Space
Singular integro-differential equation of Prandtl's type
Hypersingular integral equation
Error estimation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
265
276
663721
The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model
Atefeh Armand
atefeh.armand@ymail.com
1
Zienab Gouyandeh
zgouyandeh@yahoo.com
2
Dep. Math, Yadegar imam khomeini (rah) shahre Rey, IAU
Dep. Math, Najaf Abad, IAU
This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using collocation points, we solve this system and obtain the unknown coefficients.<br /> To illustrate the ability and reliability of the method some nonlinear integro-differential equations and population models are presented. The results reveal that the method is very effective and simple.
http://ijm2c.iauctb.ac.ir/article_663721_353c22ebe2793b8fbeb23498bb5e8212.pdf
Nonlinear integro-differential equation
Tau-Collocation method
Matrix representation
Population model
Collocation point
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
277
285
663722
Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions
Sara Hosseini
s_hosseini66@yahoo.com
1
Qazvin Branch, Islamic Azad University
Radial basis function method has been used to handle linear and<br /> nonlinear equations. The purpose of this paper is to introduce the method of RBF to<br /> an existing method in solving nonlinear two-level iterative<br /> techniques and also the method is implemented to four numerical<br /> examples. The results reveal that the technique is very effective<br /> and simple. The main property of the method lies in its<br /> flexibility and ability to solve nonlinear equations accurately<br /> and conveniently.
http://ijm2c.iauctb.ac.ir/article_663722_85f8d1cd2ae961e6b1660c564c8fb4fc.pdf
First-order evolution equations
Two-level iterative techniques
Radial basis function
Newton's method for nonlinear equations
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
287
297
663723
Solving Differential Equations by Using a Combination of the First Kind Chebyshev Polynomials and Adomian Decomposition Method
hasan barzegar kelishami
hbk.math@gmail.com
1
Department of Mathematics&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Central Tehran Branch&lrm;, &lrm;Tehran&lrm;, &lrm;Iran
In this paper, we are going to solve a class of ordinary diﬀerential equations that its source term are rational functions. We obtain the best approximation of source term by Chebyshev polynomials of the ﬁrst kind, then we solve the ordinary diﬀerential equations by using the Adomian decomposition method
http://ijm2c.iauctb.ac.ir/article_663723_ad2ef8504ccc52c51015209991a03290.pdf
Polynomials Chebyshev
Adomian decomposition method
Initial value problems
Best polynomial approximation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-11-01
7
4 (FALL)
299
307
663724
Approximation of a Fuzzy Function by Using Radial Basis Functions Interpolation
Reza Firouzdor
r.firouzdor2016@gmail.com
1
Majid Amirfakhrian
majiamir@yahoo.com
2
university
IAUCTB
In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function<br /> $tilde{f}:Rrightarrow mathcal{F}(R)$,<br /> on a discrete point set $X={x_1,x_2,ldots,x_n}$, by a fuzzy-valued function $tilde{S}$. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system will be obtained which by defining coefficient vector, target function will be approximated. Finally for showing the efficiency of the method we give some numerical examples.
http://ijm2c.iauctb.ac.ir/article_663724_ce48161f971bb5d8d6495499424c47cf.pdf
Radial Basis Function interpolation
fuzzy function
fuzzy-valued function
an approximation of a fuzzy function