Mathematics and Computational Sciences
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Mathematics and Computational Sciencesendaily1Sun, 01 May 2022 00:00:00 +0430Sun, 01 May 2022 00:00:00 +0430Taylor collocation method for approximate solutions of q-difference equations
http://mcs.qut.ac.ir/article_252247.html
This 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.Numerical Solution of System of Linear Fractional Integro-differential Equations by Least Squares Collocation Chebyshev Technique
http://mcs.qut.ac.ir/article_252248.html
This 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.Transfer Matrix Methods for Annular Periodic Multilayered Structures
http://mcs.qut.ac.ir/article_252250.html
Analysis 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.Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential
http://mcs.qut.ac.ir/article_252249.html
We 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.Application of Fan sub-equation method to complex nonlinear time fractional Maccari system
http://mcs.qut.ac.ir/article_252396.html
In this study, the Fan sub-equation method is applied to study exact solutions of complexnonlinear time fractional Maccari system. Using this method, we obtain various solutions which thoseare useful t to understand better the concepts of the complicated physical phenomena. This method isstraightforward, and it can be used to many nonlinear equations.