Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer
Bahman
Babayar-Razlighi
Department of Mathematics, Faculty of science, Qom University of Technology, Qom, Iran
author
Mehdi
Solaimani
Department of Physics, Faculty of science, Qom University of Technology, Qom, Iran
author
text
article
2020
eng
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.
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
1
8
http://mcs.qut.ac.ir/article_44461_e0d91a7a7c4ced83f767cad225a17133.pdf
dx.doi.org/10.30511/mcs.2020.44461
Tripled fixed point results via fractional differential equations
Hojjat
Afshari
University of Bonab
author
text
article
2020
eng
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.
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
9
15
http://mcs.qut.ac.ir/article_44462_d19974b9d3f376bb72f6002d412a715b.pdf
dx.doi.org/10.30511/mcs.2020.44462
Coupled fixed point results for mappings without mixed monotone property in partially ordered G-metric spaces
Sirous
Moradi
Department of Mathematics, Faculty of Sciences, Lorestan University,
Khorramabad, 6815144316, Iran
author
Ebrahim
Analoei
Shahroud University
author
Mojtaba
Moradipour
Department of Mathematics, Faculty of Sciences, Lorestan University, Khorramabad
author
text
article
2020
eng
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.
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
16
24
http://mcs.qut.ac.ir/article_44463_5acc62c6bfbf4fb16879db53fbb8cc1c.pdf
dx.doi.org/10.30511/mcs.2020.44463
Mathematical computation of quantum optical control systems
Javad
Sharifi
Electrical and Computer Engineering Department, Qom University of Technology, Qom, Iran
author
text
article
2020
eng
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
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
25
31
http://mcs.qut.ac.ir/article_44660_b12edffca4865591ad266f922119e6df.pdf
dx.doi.org/10.30511/mcs.2020.44660
Investigation of light nuclei in the cluster model by means of relativistic and non-relativistic systems
Keivan
Darooyi Divshali
Department of Physics, Shahrood University of Technology, Shahrood, Iran
author
M
Morshedloo
author
Mohammad Reza
Shojaei
author
M
Mousavi
author
text
article
2020
eng
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.
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
32
42
http://mcs.qut.ac.ir/article_44679_81eaec8f931fe649075f588c994b2ffd.pdf
dx.doi.org/10.30511/mcs.2020.44679
Sinc-Integral method to solve the linear Schrodinger equation
Seyed Mohammad Ali
Aleomraninjad
Department of Mathematics, Qom University of Technology, Qom, Iran
author
Parisa
Abbasi
Department of Mathematics, Qom University of Technology
author
text
article
2020
eng
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.
Mathematics and Computational Sciences
Qom University of Technology
2717-2708
1
v.
1
no.
2020
43
50
http://mcs.qut.ac.ir/article_44863_735f23910c473e2e66ed7bbc4eff81d4.pdf
dx.doi.org/10.30511/mcs.2020.44863