Qom University of TechnologyMathematics and Computational Sciences2717-27083220220501Taylor collocation method for approximate solutions of q-difference equations1925224710.30511/mcs.2022.540766.1045ENHDeilami AzodiFaculty of Mathematical Sciences, University of Guilan, Rasht, IranJournal Article20211011This manuscript suggests an efficient scheme to find an approach for a class of differential equations arsing in the quantum calculus. The present scheme considers the solution in the form of a truncated Taylor series near zero with unknown coefficients. Then, by placing this approach into the problem and collocating the relation which is obtained at some nodes, a system of algebraic equations is achieved. The solution of this algebraic system is the unknown coefficients of the series. The ability of present method is examined by some examples.https://mcs.qut.ac.ir/article_252247_4673e20a67c0a2f61643c9b6536d7a88.pdfQom University of TechnologyMathematics and Computational Sciences2717-27083220220501Numerical Solution of System of Linear Fractional Integro-differential Equations by Least Squares Collocation Chebyshev Technique102125224810.30511/mcs.2022.543230.1050ENOTaiyeDepartment of Applied Science, Faculty of Pure and Applied Science,Federal College of Dental Technology and Therapy, Enugu, Nigerian0000-0001-9063-8806T. OAdebayoDepartment of Mathematics, University of Ilorin, Ilorin, NigerianA. AJamesDepartment of Mathematics, America University of Nigerian, Yola, Nigeria0000 -0003-2257-5596I. AAdamDepartment of Physical Sciences, Al-Hihmah University, Ilorin, NigerianA. AMuhammedDepartment of Mathematics, Modibbo Adama University, Yola, Nigerianorcid.0000-0002-8931-5708Journal Article20211120This study presents the approximate solutions of a system of Fractional Integro-Differential Equations (FIDEs) with least squares collocation Chebyshev technique. The technique reduce the problem to system of linear algebraic equations and then solved. The applicability of this method has been demonstrated by numerical examples. Numerical results show that the method is easy to implement and compares favorably with the exact results.https://mcs.qut.ac.ir/article_252248_6d819941cc8ce8de39705266c8ed036b.pdfQom University of TechnologyMathematics and Computational Sciences2717-27083220220501Transfer Matrix Methods for Annular Periodic Multilayered Structures223125225010.30511/mcs.2022.252250ENAAghajamaliSchool of Molecular Sciences, The University of Western Australia, Perth, WA 6009, Australia0000-0003-0932-0513CNayakDepartment of Electronics and Communication Engineering, SRM Institute of Science and Technology, Chennai, 603202, Tamilnadu,
IndiaJournal Article20220215Analysis of complex one-dimensional photonic systems is a challenge to the scientific community. To solve such a problem in the past computational techniques have been deployed. Transfer matrix or so-called characteristics matrix is one of the widely used methods acceptable for multilayered systems. The convectional transfer matrix method has some drawbacks to solving an annular type multilayered system. This paper presents the transfer matrix method to investigate the electromagnetic wave propagation in the annular multilayered photonic structures.https://mcs.qut.ac.ir/article_252250_0949c1ad8913362937cab4f91a89421d.pdfQom University of TechnologyMathematics and Computational Sciences2717-27083220220501Application of Fan sub-equation method to complex nonlinear time fractional Maccari system324025239610.30511/mcs.2022.554580.1070ENNKadkhodaDepartment of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran0000-0003-3042-5440Journal Article20220516In this study, the Fan sub-equation method is applied to study exact solutions of complex<br />nonlinear time fractional Maccari system. Using this method, we obtain various solutions which those<br />are useful t to understand better the concepts of the complicated physical phenomena. This method is<br />straightforward, and it can be used to many nonlinear equations.https://mcs.qut.ac.ir/article_252396_efa0b83245e6b6ac24fb06a70fab3c72.pdfQom University of TechnologyMathematics and Computational Sciences2717-27083220220501A Fractional Variational Iteration Approach for Solving Time-Fractional Navier-Stokes Equations414725262310.30511/mcs.2022.554581.1071ENM. YZayirDepartment of Mathematics, University of Thi-Qar, Nasiriyah, IraqHKamil JassimDepartment of Mathematics, University of Thi-Qar, Nasiriyah, IraqJournal Article20220526The fractional variational iteration technique (FVIM), a dependable semi-analytic approach for solving multi-dimensional Navier-Stokes equations, is explained in this article. The accuracy, efficiency, and convergence of the provided approach are tested using a variety of demonstrative instances.https://mcs.qut.ac.ir/article_252623_f44e50fc0f2d1308c72295cb45b9fa2e.pdfQom University of TechnologyMathematics and Computational Sciences2717-27083220220501Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential486125224910.30511/mcs.2022.252249ENC. POnyenegechaDepartment of Physics, Federal University of Technology, Owerri, Nigeria0000-0002-7287-4650JOkerekeDepartment of Physics, Federal University of Technology, Owerri, NigeriaCAgbakwuruDepartment of Physics/Electronics, Federal Polytechnic, Nekede, NigeriaEMbamalaDepartment of Physics, Federal University of Technology, Owerri, NigeriaUUkewuiheDepartment of Physics, Federal University of Technology, Owerri, NigeriaINjokuDepartment of Physics, Federal University of Technology, Owerri, NigeriaKAchilikeDepartment of Physics, Abia State University, Uturu, NigeriaJournal Article20211208We solve the Schrodinger equation for the combination of Kratzer and Modified Eckart potential by using an approximation to the centrifugal term. Analytical expressions of the energy and the corresponding eigenfunctions have been obtained by using the parametric Nikiforov-Uvarov method. Special cases of the potential are discussed. In addition, numerical results of the energy are computed. Furthermore, it is reported that the energy E and the quantum numbers n and l are inversely proportional to each other.https://mcs.qut.ac.ir/article_252249_a4447f3e48bf21945401aa578d2415f3.pdf