2017
7
2
26
0
On a modication of the Chebyshev collocation method for solving fractional diffiusion equation
2
2
In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .The numerical results obtained by this way have been compared with other methods.The results show the reliability and efficiency of the proposed method.
1

93
106


Hosein
jalebbonab
Central Tehran Branch, Islamic Azad University, Tehran ,Iran
Central Tehran Branch, Islamic Azad University,
Iran
h.jalebbonab@gmail.com


Hojatollah
Adibi
Amirkabir Univertsity of Technology
Amirkabir Univertsity of Technology
Iran
adibih@aut.ac.ir
Fractional diffusion equation
Caputo derivative
Fractional Riccati differential equation
Finite difference
Collocation
Chebyshev polynomials
Airy equation with memory involvement via Liouville differential operator
2
2
In this work, a noninteger order Airy equation involving Liouville differential operator is considered. Proposing an undetermined integral solution to the left fractional Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed form. A similar suggestion to the right FADE, converts it into an equation in the Laplace domain. An illustration to the approximation and asymptotic behavior of the integral solution to the left FADE with respect to the existing parameters is presented.
1

107
113


Bahram
Agheli
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Mathematics, Qaemshahr Branch,
Iran
b.agheli@yahoo.com


Abdolali
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Iran
abdolalinamaty@yahoo.com


Mehdi
Nategh
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, University of
Iran
nategh_mehdi@yahoo.com


Dumitru
Baleanu
Department of Mathematics, cankaya University, Ankara, Turkey.
Department of Mathematics, cankaya University,
Iran
dumitru.baleanu@gmail.com
Fractional Calculus
Liuville differential operator
Airy function
Fractional Airy equation
Dynamics of Food Chain Model: Role of Alternative Resource for Top Predator
2
2
In this paper, effect of alternative resource for top predator in food chain model with holling type III functional response is seen . Proposed model is demonstrated in respect of analytical as well numerical results. Bifurcation study with the variation of alternative resource and half saturation constants are done numerically. Simulation results shows that suitable alternative resource has the capability to prevent top predator extinction.
1

115
128


ANUJ
KUMAR
UNIVERSITY OF LUCKNOWINDIA
UNIVERSITY OF LUCKNOWINDIA
Iran
guptaanujkm89@gmail.com


MANJU
AGARWAL
UNIVERSITY OF LUCKNOW INDIA
UNIVERSITY OF LUCKNOW INDIA
Iran
majuak@yahoo.com
mathematical model
Stability Analysis
Holling type III Functional Response
Alternative Resource
Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center
2
2
In this study free convection flow and heat transfer of a fluid inside a tilted square enclosure having heat conducting and generating solid body positioned in the center of the enclosure with various thermal boundary conditions has been investigated numerically. The governing equations are transformed into nondimensional form and the resulting partial differential equations are solved by Finite Volume Method applying powerlaw scheme using SIMPLE algorithm with UnderRelaxation technique. The parameters leading the problem are the aspect ratio, thermal conductivity ratio, temperature difference ratio and the angle of inclination. The effect of different thermal boundary conditions on streamlines and isotherms as well as on the rate of heat transfer on all walls of the enclosure are presented graphically.
1

129
143


Periyasamy
Umadevi
university
university
Iran
umadevi.kms@gmail.com


Nagarajan
Nithyadevi
Bharathiar University,
Coimbatore,
Tamil Nadu, India
Bharathiar University,
Coimbatore,
Tamil
Iran
nithyadevin@gmail.com
Finite volume method
Aspect Ratio
Angle of Inclination
Natural convection and Square Enclosure
A Threeterms Conjugate Gradient Algorithm for Solving LargeScale Systems of Nonlinear Equations
2
2
Nonlinear conjugate gradient method is well known in solving largescale unconstrained optimization problems due to it’s low storage requirement and simple to implement. Research activities on it’s application to handle higher dimensional systems of nonlinear equations are just beginning. This paper presents a Threeterm Conjugate Gradient algorithm for solving LargeScale systems of nonlinear equations by incoporating the hyperplane projection and Powel restart approach. We prove the global convergence of the proposed method with a derivative free line search under suitable assumtions. the numerical results are presented which show that the proposed method is promising.
1

145
157


Mohammed
waziri Yusuf
Bayero University Kano
Bayero University Kano
Iran
mywaziri.mth@buk.edu.ng
Unconstrained optimization
systems of nonlinear equations
Conjugate gradient
Derivative free line saerch
A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
2
2
The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously illposed. So, we combine discrete mollification and space marching method to address the illposedness of the proposed problem. Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Finally, the results of this paper have been illustrated by some numerical examples.
1

159
173


A.
Zakeri
Khajeh Nasir Toosi University of Technology
Khajeh Nasir Toosi University of Technology
Iran
azakeri@kntu.ac.ir


Soheila
Bodaghi
Khajeh Nasir Toosi
University of Technology
Khajeh Nasir Toosi
University of Technology
Iran
sbodaghi@mail.kntu.ac.ir
Nonlinear backward inverse heat conduction problem
Discrete mollification
Space marching method
Stability
convergence