2015
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A new iteration method for solving a class of Hammerstein type integral equations system
2
2
In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bound estimation of the new iterative method are also discussed. Finally, some numerical examples are given to compare the performance of the proposed method with the existing methods.
1

231
246


Saeed
Karimi
Department of Mathematics,
Persian Gulf University,
Bushehr 75169, Iran
Department of Mathematics,
Persian Gulf University
I. R. Iran
karimijafarbigloo@gmail.com


Maryam
Dehghan
Department of Mathematics,
Persian Gulf University,
Bushehr 75169, Iran
Department of Mathematics,
Persian Gulf University
I. R. Iran
maryamdehghan880@yahoo.com


Fariba
Takhtabnoos
Department of Mathematics,
Persian Gulf University,
Bushehr 75169, Iran
Department of Mathematics,
Persian Gulf University
I. R. Iran
f.takhtabnoos@sutech.ac.ir
Iterative method
Nonlinear integral equations system
Hammerstein integral equation
Fixed point iteration
Contraction operator
Numerical solution of Troesch's problem using Christov rational functions
2
2
We present a collocation method to obtain the approximate solution of Troesch's problem which arises in the confinement of a plasma column by radiation pressure and applied physics. By using the Christov rational functions and collocation points, this method transforms Troesch's problem into a system of nonlinear algebraic equations. The rate of convergence is shown to be exponential. The numerical results obtained by the present method compares favorably with those obtained by various methods earlier in the literature.
1

247
257


Abbas
Saadatmandi
Department of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan 8731753153, Iran
Department of Applied Mathematics,
Faculty
I. R. Iran
a.saadatmandi@gmail.com


Tahereh
AbdolahiNiasar
Department of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Kashan, Kashan 8731753153, Iran
Department of Applied Mathematics,
Faculty
I. R. Iran
abdolahi.tahereh@yahoo.com
Troesch's problem
Christov functions
Collocation
Wiener functions
Solving large systems arising from fractional models by preconditioned methods
2
2
This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the timeindependent spacefractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advectiondiffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned generalized minimal residual (preconditioned GMRES) method and the preconditioned conjugate gradient for normal residual( preconditioned CGN) method, to solve the corresponding discritized systems. We further make comparisons between the preconditioners commonly used in the parallelization of the preconditioned Krylov subspace methods. The results suggest that preconditioning technique is a promising candidate for solving largescale linear systems arising from fractional models.
1

258
273


Reza
Khoshsiar Ghaziani
Faculty of Mathematical Sciences,
Shahrekord University,
P. O. Box 115, Shahrekord, Iran
Faculty of Mathematical Sciences,
Shahrekord
I. R. Iran
rkhoshsiar@gmail.com


Mojtaba
Fardi
Faculty of Mathematical Sciences,
Shahrekord University,
P. O. Box 115, Shahrekord, Iran
Faculty of Mathematical Sciences,
Shahrekord
I. R. Iran
fardi_mojtaba@yahoo.com


Mehdi
Ghasemi
Faculty of Mathematical Sciences,
Shahrekord University,
P. O. Box 115, Shahrekord, Iran
Faculty of Mathematical Sciences,
Shahrekord
I. R. Iran
m_ghasemi@yahoo.com
Krylov subspace methods
. Preconditioning techniques
Fractional model
Finitetime stabilization of satellite quaternion attitude
2
2
In this paper, a finitetime control scheme is presented for stabilization of the satellite chaotic attitude around its equilibrium point when its attitude is confused by a disturbed torque. Controllers and settling time of stabilizaton are obtained, based on the Lyapunov stability theorem and finitetime control scheme. This method is satisfied for any initial condition. Numerical simulations are presented to illustrate the ability and effectiveness of proposed method.
1

274
283


Mohammad Reza
Niknam
Department of Mathematics, Payame Noor University, P.O.Box 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
I. R. Iran
rezanik82@yahoo.com


Aghileh
Heydari
Department of Mathematics, Payame Noor University, P.O.Box 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
I. R. Iran
a_heidari@pnu.ac.ir
Finitetime stabilization
quaternion
satellite attitude
A rational Chebyshev functions approach for FredholmVolterra integrodifferential equations
2
2
The purpose of this study is to present an approximate numerical method for solving high order linear FredholmVolterra integrodifferential equations in terms of rational Chebyshev functions under the mixed conditions. The method is based on the approximation by the truncated rational Chebyshev series. Finally, the effectiveness of the method is illustrated in several numerical examples. The proposed method is numerically compared with others existing methods where it maintains better accuracy.
1

284
297


Mohamed
AbdelLatif Ramadan
Mathematics Department, Faculty of Science,
Menoufia University, Shebein ElKom, Egypt
Mathematics Department, Faculty of Science,
Menouf
Egypt
ramadanmohamed13@yahoo.com


Kamal. Mohamed
Raslan
Mathematics Department, Faculty of Science,
AlAzhar University, NasrCity, Cairo, Egypt
Mathematics Department, Faculty of Science,
AlAzh
Egypt
kamal_raslan@yahoo.com


Mahmoud Abd El Ghanny
Nassear
Mathematics Department, Faculty of Science,
AlAzhar University, NasrCity, Cairo, Egypt
Mathematics Department, Faculty of Science,
AlAzh
Egypt
m7moudscience@yahoo.com
Rational Chebyshev functions
FredholmVolterra integrodifferential equations
Collocation method
Valuation of installment option by penalty method
2
2
In this paper, installment options on the underlying asset which evolves according to BlackScholes model and pays constant dividend to its owner will be considered. Applying arbitrage pricing theory, the nonhomogeneous parabolic partial differential equation governing the value of installment option is derived. Then, penalty method is used to value the European continuous installment call option.
1

298
310


Ali
Beiranvand
Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences,
University
I. R. Iran
alibeiranvand36@gmail.com


Karim
Ivaz
Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences,
University
I. R. Iran
ivaz@tabrizu.ac.ir
Installment option
BlackScholes model
penalty method
Free boundary problem