Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
On a modication of the Chebyshev collocation method for solving fractional diffiusion equation
93
106
EN
Hosein
jalebbonab
Central Tehran Branch, Islamic Azad University, Tehran ,Iran
h.jalebbonab@gmail.com
Hojatollah
Adibi
Amirkabir Univertsity of Technology
adibih@aut.ac.ir
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.
Fractional diffusion equation,Caputo derivative,Fractional Riccati differential equation,Finite difference,Collocation,Chebyshev polynomials
http://ijm2c.iauctb.ac.ir/article_535074.html
http://ijm2c.iauctb.ac.ir/article_535074_0e59dd79c61763120ca5355880273b61.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
Airy equation with memory involvement via Liouville differential operator
107
113
EN
Bahram
Agheli
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
b.agheli@yahoo.com
Abdolali
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
abdolalinamaty@yahoo.com
Mehdi
Nategh
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
nategh_mehdi@yahoo.com
Dumitru
Baleanu
Department of Mathematics, cankaya University, Ankara, Turkey.
dumitru.baleanu@gmail.com
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.
Fractional Calculus,Liuville differential operator,Airy function,Fractional Airy equation
http://ijm2c.iauctb.ac.ir/article_535064.html
http://ijm2c.iauctb.ac.ir/article_535064_ba135b1228b2d88fc31b94d197d0a9ea.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
Dynamics of Food Chain Model: Role of Alternative Resource for Top Predator
115
128
EN
ANUJ
KUMAR
UNIVERSITY OF LUCKNOW-INDIA
guptaanujkm89@gmail.com
MANJU
AGARWAL
UNIVERSITY OF LUCKNOW- INDIA
majuak@yahoo.com
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.
mathematical model,Stability Analysis,Holling type III Functional Response,Alternative Resource
http://ijm2c.iauctb.ac.ir/article_535065.html
http://ijm2c.iauctb.ac.ir/article_535065_78bcd36d73d1b989b5f9b83b91231fe4.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
Convection in a Tilted Square Enclosure with Various Boundary Conditions and Having Heat Generating Solid Body at its Center
129
143
EN
Periyasamy
Umadevi
university
umadevi.kms@gmail.com
Nagarajan
Nithyadevi
Bharathiar University,
Coimbatore,
Tamil Nadu, India
nithyadevin@gmail.com
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.
Finite volume method,Aspect Ratio,Angle of Inclination,Natural convection and Square Enclosure
http://ijm2c.iauctb.ac.ir/article_535161.html
http://ijm2c.iauctb.ac.ir/article_535161_a9edeccf4e470a53d80349b8e3b742d8.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
A Three-terms Conjugate Gradient Algorithm for Solving Large-Scale Systems of Nonlinear Equations
145
157
EN
Mohammed
waziri Yusuf
Bayero University Kano
mywaziri.mth@buk.edu.ng
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.
Unconstrained optimization,systems of nonlinear equations,Conjugate gradient,Derivative free line saerch
http://ijm2c.iauctb.ac.ir/article_535067.html
http://ijm2c.iauctb.ac.ir/article_535067_128965bb81bf8065e5e2b85b8c7c9ffc.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
7
2 (SPRING)
2017
04
01
A regularization method for solving a nonlinear backward inverse heat conduction problem using discrete mollification method
159
173
EN
A.
Zakeri
Khajeh Nasir Toosi University of Technology
azakeri@kntu.ac.ir
Soheila
Bodaghi
Khajeh Nasir Toosi
University of Technology
sbodaghi@mail.kntu.ac.ir
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.
Nonlinear backward inverse heat conduction problem,Discrete mollification,Space marching method,Stability,convergence
http://ijm2c.iauctb.ac.ir/article_535213.html
http://ijm2c.iauctb.ac.ir/article_535213_ac0a03f80b8619307c01bf03f7199ae9.pdf