ORIGINAL_ARTICLE
Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer
In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral equation model. The integral equation model of this system is a Volterra type of the first kind. These systems are ill posed system, and appropriate method for such systems are wavelets, since wavelets can be generated in the space of solutions. In this work we apply the Legendre wavelets to solve the corresponding integral equation. Numerical implementation of the method is illustrated by benchmark problems originated from heat transfer. The behavior of the initial heat function along with the position axis during the time have been shown through three dimensional plots.
http://mcs.qut.ac.ir/article_44461_e0d91a7a7c4ced83f767cad225a17133.pdf
2020-10-01
1
8
10.30511/mcs.2020.44461
Volterra integral equation of the first kind
Heat equation
Numerical solution
Legendre wavelets
Bahman
Babayar-Razlighi
bbabayar@gmail.com
1
Department of Mathematics, Faculty of science, Qom University of Technology, Qom, Iran
LEAD_AUTHOR
Mehdi
Solaimani
solaimani.mehdi@gmail.com
2
Department of Physics, Faculty of science, Qom University of Technology, Qom, Iran
AUTHOR
ORIGINAL_ARTICLE
Tripled fixed point results via fractional differential equations
This article in want to study a class of mixed monotone operators with convexity on ordered Banach spaces and investigate some new tripled fixed point results, also in this article, we examine the existence and uniqueness of tripled fixed points without assuming the operator to be compact or continuous. As applications, we apply the results obtained in this paper to study the existence and uniqueness of positive solutions for a fractional boundary value problem.
http://mcs.qut.ac.ir/article_44462_d19974b9d3f376bb72f6002d412a715b.pdf
2020-10-01
9
15
10.30511/mcs.2020.44462
Fractional boundary value problem
tripled fixed point
positive solution
Hojjat
Afshari
hojat.afshari@yahoo.com
1
University of Bonab
LEAD_AUTHOR
ORIGINAL_ARTICLE
Coupled fixed point results for mappings without mixed monotone property in partially ordered G-metric spaces
In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappingsdo not having the mixed monotone property in partially ordered G-metric spaces.
http://mcs.qut.ac.ir/article_44463_5acc62c6bfbf4fb16879db53fbb8cc1c.pdf
2020-10-01
16
24
10.30511/mcs.2020.44463
G-metric space
Coupled fixed point
Mixed monotone property
Sirous
Moradi
moradi.s@lu.ac.ir
1
Department of Mathematics, Faculty of Sciences, Lorestan University,
Khorramabad, 6815144316, Iran
LEAD_AUTHOR
Ebrahim
Analoei
analoey.ebrahim@gmail.com
2
Shahroud University
AUTHOR
Mojtaba
Moradipour
moradipour.mo@lu.ac.ir
3
Department of Mathematics, Faculty of Sciences, Lorestan University, Khorramabad
AUTHOR
ORIGINAL_ARTICLE
Mathematical computation of quantum optical control systems
Some models of linear control system schemas are developed here for quantum linear systems. The most important linear devices in quantum optics are introduced with their differential equations. These linear quantum systems are zero-order and first-order transfer functions with one pole and one zero. We mathematical compute transfer function of different interconnections by using zero-order and first-order systems. for instance, by designing series and feedback interconnection, we will obtain higher-order quantum linear systems. Also, we will analyze a closed-loop feedback of a first-order linear quantum system containing a gain in feedback path
http://mcs.qut.ac.ir/article_44660_b12edffca4865591ad266f922119e6df.pdf
2020-10-01
25
31
10.30511/mcs.2020.44660
Beam Splitter
Optical Cavity
Transfer function
Javad
Sharifi
jv.sharifi@gmail.com
1
Electrical and Computer Engineering Department, Qom University of Technology, Qom, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Investigation of light nuclei in the cluster model by means of relativistic and non-relativistic systems
Calculation of the energy of even-even isotopes using collective models in nuclear physics has its own complication. Therefor different physical models are used to study nuclear isotopes. The cluster model is a new and successful model for investigating the properties of isotopes. Using this model, the interaction between core and cluster can be chosen and static properties, including the eigenvalues energy and wave function, can be calculated. Considering the modified Eckart plus Hulthen potentials and Coulomb repulsive potential for interactions between clusters and with substituting this potential in the SchrÃ¶dinger equations, by Nikiforov-Uvarov analytical method some of the static properties including the energy levels and wave functions are obtained for 14C, 16O, 20Ne, 24Mg, 28Si, and 32S isotopes.
http://mcs.qut.ac.ir/article_44679_81eaec8f931fe649075f588c994b2ffd.pdf
2020-10-01
32
42
10.30511/mcs.2020.44679
Cluster model
Eckart plus Hulthen potentials
Nikiforov-Uvarov method
Energy levels
Structure of Nuclei
Keivan
Darooyi Divshali
keivan.darooyi@gmail.com
1
Department of Physics, Shahrood University of Technology, Shahrood, Iran
LEAD_AUTHOR
M
Morshedloo
2
AUTHOR
Mohammad Reza
Shojaei
3
AUTHOR
M
Mousavi
4
AUTHOR
ORIGINAL_ARTICLE
Sinc-Integral method to solve the linear Schrodinger equation
The integral equation method is presented to solve the linear Schrodinger equation and obtain the eigenvalues. The eigenvalues obtained through this method are compared with Sinc-Collocation method. We show that our method is more accurate than Sinc-Collocation method. Some properties of the Sinc methods required for our subsequent development are given and utilized. Numerical examples are included to demonstrate the validity and applicability of the presented techniques.
http://mcs.qut.ac.ir/article_44863_735f23910c473e2e66ed7bbc4eff81d4.pdf
2020-10-01
43
50
10.30511/mcs.2020.44863
Linear Schrodinger equation
Sinc-Collocation method
Eigenvalue problem
Volterra integral equations
Fredholm integral equations
Seyed Mohammad Ali
Aleomraninjad
aleomran63@yahoo.com
1
Department of Mathematics, Qom University of Technology, Qom, Iran
LEAD_AUTHOR
Parisa
Abbasi
abbasiparisa69@yahoo.com
2
Department of Mathematics, Qom University of Technology
AUTHOR