Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
HIERARCHICAL COMPUTATION OF HERMITE SPHERICAL INTERPOLANT
247
259
EN
A.
Lamnii
Faculty of Science and Technology, University Hassan first, Settat, Morocco
Morocco
H.
Mraoui
In this paper, we propose to extend the hierarchical bivariateHermite Interpolant to the spherical case. Let $T$ be an arbitraryspherical triangle of the unit sphere $S$ and let $u$ be a functiondefined over the triangle $T$. For $kin mathbb{N}$, we consider aHermite spherical Interpolant problem $H_k$ defined by some datascheme $mathcal{D}_k(u)$ and which admits a unique solution $p_k$in the space $B_{n_k}(T)$ of homogeneous Bernstein-B'ezierpolynomials of degree $n_k=2k$ (resp. $n_k=2k+1$) defined on $T$. Wediscuss the case when the data scheme $mathcal{D}_{r}(u)$ arenested, i.e., $mathcal{D}_{r-1}(u)subset mathcal{D}_{r}(u)$ forall $1 leq r leq k$. This, give a recursive formulae to computethe polynomial $p_k$. Moreover, this decomposition give a new basisfor the space $B_{n_k}(T)$, which are the hierarchical structure.The method is illustrated by a simple numerical example.
Spherical splines,Hermite interpolation,Recursive computation
http://ijm2c.iauctb.ac.ir/article_521805.html
http://ijm2c.iauctb.ac.ir/article_521805_9608b9b588e3eb826d022aab4cb15b7c.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
A SINGLE SERVER BERNOULLI VACATION QUEUE WITH TWO TYPE OF SERVICES AND WITH RESTRICTED ADMISSIBILITY
261
276
EN
R.
Kalyanaraman
Professor of Mathematics, Annamalai University
India
Professor of Mathematics 3rd
V.
Suvitha
Annamalai University
India
Research Student,Annamalaiuniversity
A single server queue with Bernoulli vacation has been considered. In addition the admission to queue is based on a Bernoulli process and the server gives two type of services. For this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. Some performance measures are calculated. Some particular cases are obtained and numerical examples are also presented.
Bernoulli vacation,Bernoulli process,Supplementary variable technique,Performance measures
http://ijm2c.iauctb.ac.ir/article_521806.html
http://ijm2c.iauctb.ac.ir/article_521806_b88e4e9bd11a5ac2bef1dd67c725089c.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
SOLVING FRACTIONAL NONLINEAR SCHR"{O}DINGER EQUATIONS BY FRACTIONAL COMPLEX TRANSFORM METHOD
277
281
EN
B.
Ghazanfari
Lorestan university
Iran, Islamic Republic of
Assist. Prof. in Appl. Math.Department of Mathematics
A. G.
Ghazanfari
In this paper, we apply fractional complex transform to convert the fractional nonlinear Schr"{o}dinger equations to the nonlinear Schr"{o}dinger equations.
Fractional complex transform,Schr\"{o}dinger equation,Jumarie's derivative
http://ijm2c.iauctb.ac.ir/article_521807.html
http://ijm2c.iauctb.ac.ir/article_521807_d54e945a101d1d0a4e976e5325f52584.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH
283
298
EN
H.
Adibi
A.
Taherian
In this study, a Taylor method is developed for numerically solving the high-order most general nonlinear Fredholm integro-differential-difference equations in terms of Taylor expansions. The method is based on transferring the equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with the unknown Taylor coefficients. Also, we test the method by numerical examples
Nonlinear Fredholm integro-differential-difference equations,Taylor series
http://ijm2c.iauctb.ac.ir/article_521808.html
http://ijm2c.iauctb.ac.ir/article_521808_45d2cf6011ebd4495ba59735ce46b5ad.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
299
308
EN
M.
Sotoodeh
Department of Applied Mathematics, Science and Research Branch, Islamic Azad University
Iran, Islamic Republic of
M. A
Fariborzi Araghi
Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University
Iran, Islamic Republic of
In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.
Improved homotopy perturbation method,Laplace Transform,Fredholm integro-differential equation
http://ijm2c.iauctb.ac.ir/article_521809.html
http://ijm2c.iauctb.ac.ir/article_521809_7da3d74052041f41e82c7ac5002d6c30.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
309
320
EN
S. M.
Mirzaei
Department of Mathematics, Minoodasht Branch, Islamic Azad University, Minoodasht, Iran
Iran, Islamic Republic of
In this work, we will compare two approximation method based on hybrid Legendre andBlock-Pulse functions and a computational method for solving nonlinear Fredholm-Volterraintegral equations of the second kind which is based on replacement of the unknown functionby truncated series of well known Block-Pulse functions (BPfs) expansion
Hybrid functions,Nonlinear Integral Equation,Block-Pulse Function
http://ijm2c.iauctb.ac.ir/article_521810.html
http://ijm2c.iauctb.ac.ir/article_521810_d26fce73fc8832bd25d552d7105b5c78.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
COST MALMQUIST PRODUCTIVITY INDEX IN SUPPLY CHAIN
321
326
EN
M.
Fallah Jelodar
Department of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, Iran.
M.
Sanei
Department of Mathematics, Islamic Azad University, Firoozkooh Branch, Firoozkooh, Iran.
S.
Mamizadeh Chatghayeh
The index is excellent by the Malmquist index as extended to productivity measurement. The index developed here is defined in terms of input cost rather than input quantity distance functions in supply chain. Therefore, we propose productivity change is decomposed into overall efficiency and cost technical change. These decompositions provide a clearer situation of the root sources of supply chain productivity change, so that illustrated here in a sample of supply chain; so that results are computed using non-parametric mathematical programming.
DEA,Productivity change,Malmquist index,Supply Chain
http://ijm2c.iauctb.ac.ir/article_521811.html
http://ijm2c.iauctb.ac.ir/article_521811_402be0e244d601c69bb7c2f5626937d1.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
4 (FALL)
2016
09
22
DESIGN AND DEVELOPMENT OF THE STRATEGY TO IMPROVE PATIENT SATISFACTION IN A HOSPITAL SETTING
327
339
EN
L.
Sadeghi
Iran, Islamic Republic of
A. A.
Nasiripour
Attempts made in order to improve management tools of performance showing the importance of customer satisfaction in determining the organizations’ success in profitability and business. The main objective of this study was to develop appropriate strategies to improve patient satisfaction in Hospital.
The research was a descriptive-practical one. Data was collected through a brainstorming session, two questionnaires designed based on internal and external evaluation matrices standard framework and quantitative strategic programming matrix, and finally some changes were made. Having collected the data, vision and mission of the hospital were developed; then SWOT matrix of the hospital was formed and due to the hospital being placed in competitive position (ST), five strategies were considered necessary to improve the satisfaction of the hospital’s patients.
What was considered the most was appointing a strategy in order to attract specialists and efficient forces with a score of 5.56 and the least considered referred to the strategy of promoting the empowerment of newly-hired staff with a score of 2.96.
The population of this study is comprised of experts and senior managers at one of the hospital in Tehran working in 2012 (N=16).
Due to the limited number of population, sampling was not done. Tools of collecting data included brainstorming session and two questionnaires.
Patient satisfaction,strategy,Hospital,SWOT matrix
http://ijm2c.iauctb.ac.ir/article_521812.html
http://ijm2c.iauctb.ac.ir/article_521812_4dd95d05e76bf8d2c1b3ec6fb1f2434e.pdf