eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
93
106
535074
On a modication of the Chebyshev collocation method for solving fractional diffiusion equation
Hosein jalebbonab
h.jalebbonab@gmail.com
1
Hojatollah Adibi
adibih@aut.ac.ir
2
Central Tehran Branch, Islamic Azad University, Tehran ,Iran
Amirkabir Univertsity of Technology
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.
http://ijm2c.iauctb.ac.ir/article_535074_0e59dd79c61763120ca5355880273b61.pdf
Fractional diffusion equation
Caputo derivative
Fractional Riccati differential equation
Finite difference
Collocation
Chebyshev polynomials
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
107
113
535064
Airy equation with memory involvement via Liouville differential operator
Bahram Agheli
b.agheli@yahoo.com
1
Abdolali Neamaty
abdolalinamaty@yahoo.com
2
Mehdi Nategh
nategh_mehdi@yahoo.com
3
Dumitru Baleanu
dumitru.baleanu@gmail.com
4
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, cankaya University, Ankara, Turkey.
In this work, a non-integer 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.<br /> A similar suggestion to the right FADE, converts it into an equation in the Laplace domain.<br /> An illustration to the approximation and asymptotic behavior of the integral solution to the left FADE with respect to the existing parameters is presented.
http://ijm2c.iauctb.ac.ir/article_535064_ba135b1228b2d88fc31b94d197d0a9ea.pdf
Fractional Calculus
Liuville differential operator
Airy function
Fractional Airy equation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
115
128
535065
Dynamics of Food Chain Model: Role of Alternative Resource for Top Predator
ANUJ KUMAR
guptaanujkm89@gmail.com
1
MANJU AGARWAL
majuak@yahoo.com
2
UNIVERSITY OF LUCKNOW-INDIA
UNIVERSITY OF LUCKNOW- INDIA
In this paper, effect of alternative resource for top predator in food chain model with holling<br /> type III functional response is seen . Proposed model is demonstrated in respect of analytical<br /> as well numerical results. Bifurcation study with the variation of alternative resource and half<br /> saturation constants are done numerically. Simulation results shows that suitable alternative<br /> resource has the capability to prevent top predator extinction.
http://ijm2c.iauctb.ac.ir/article_535065_78bcd36d73d1b989b5f9b83b91231fe4.pdf
mathematical model
Stability Analysis
Holling type III Functional Response
Alternative Resource
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
129
143
535161
Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center
Periyasamy Umadevi
umadevi.kms@gmail.com
1
Nagarajan Nithyadevi
nithyadevin@gmail.com
2
university
Bharathiar University, Coimbatore, Tamil Nadu, India
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 non-dimensional form and the resulting partial differential equations are solved by Finite Volume Method applying power-law scheme using SIMPLE algorithm with Under-Relaxation 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.
http://ijm2c.iauctb.ac.ir/article_535161_a9edeccf4e470a53d80349b8e3b742d8.pdf
Finite volume method
Aspect Ratio
Angle of Inclination
Natural convection and Square Enclosure
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
145
157
535067
A Three-terms Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations
Mohammed waziri Yusuf
mywaziri.mth@buk.edu.ng
1
Bayero University Kano
Nonlinear conjugate gradient method is well known in solving large-scale 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 Large-Scale 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.
http://ijm2c.iauctb.ac.ir/article_535067_128965bb81bf8065e5e2b85b8c7c9ffc.pdf
Unconstrained optimization
systems of nonlinear equations
Conjugate gradient
Derivative free line saerch
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2017-04-01
7
2 (SPRING)
159
173
535213
A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
A. Zakeri
azakeri@kntu.ac.ir
1
Soheila Bodaghi
sbodaghi@mail.kntu.ac.ir
2
Khajeh Nasir Toosi University of Technology
Khajeh Nasir Toosi University of Technology
The present essay scrutinizes the application of discrete mollification as a filtering procedure to<br /> solve a nonlinear backward inverse heat conduction problem in one dimensional space. These<br /> problems are seriously ill-posed. So, we combine discrete mollification and space marching<br /> method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<br /> convergence of the aforementioned algorithm is provided. Finally, the results of this paper have<br /> been illustrated by some numerical examples.
http://ijm2c.iauctb.ac.ir/article_535213_ac0a03f80b8619307c01bf03f7199ae9.pdf
Nonlinear backward inverse heat conduction problem
Discrete mollification
Space marching method
Stability
convergence