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 Schrödinger 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