Search

Your search keyword '"Ghaderi, Amin"' showing total 20 results
Start Over Author "Ghaderi, Amin" Publication Year Range Last 50 years
20 results on '"Ghaderi, Amin"'

1. Two efficient computational algorithms to solve the singularly perturbed Lane-Emden problem

Author

Parand, Kourosh and Ghaderi, Amin

Subjects
Mathematics - Numerical Analysis
Abstract

In this paper, we decide to compare two new approaches based on Rational and Exponential Bessel functions (RBs and EBs) to solve several well-known class of Lane-Emden type models. The problems, which define in some models of non-Newtonian fluid mechanics and mathematical physics, are nonlinear ordinary differential equations of second-order over the semiinfinite interval and have singularity at x = 0. We have converted the nonlinear Lane-Emden equation to a sequence of linear equations by utilizing the quasilinearization method (QLM) and then, these linear equations have been solved by RBs and EBs collocation-spectral methods. Afterward, the obtained results are compared with the solution of other methods for demonstrating the efficiency and applicability of the proposed methods., Comment: 21 pages. arXiv admin note: text overlap with arXiv:1606.07615

Published
2017

2. A matrix formulation of the Tau method for the numerical solution of non-linear problems

Author

Parand, Kourosh, Ghaderi, Amin, Delkhosh, Mehdi, and Pourgholi, Reza

Subjects
Mathematics - Numerical Analysis
Abstract

The purpose of this research is to propose a new approach named the shifted Bessel Tau (SBT) method for solving higher-order ordinary differential equations (ODE). The operational matrices of derivative, integral and product of shifted Bessel polynomials on the interval [a, b] are calculated. These matrices together with the Tau method are utilized to reduce the solution of the higher-order ODE to the solution of a system of algebraic equations with unknown Bessel coefficients. The comparisons between the results of the present work and other the numerical method are shown that the present work is computationally simple and highly accurate., Comment: 23 pages

Published
2017

14. Solving magneto-hydrodynamic squeezing flow between two parallel disks with suction or injection using three classes of polynomials.

Author

Parand, Kourosh, Ghaderi, Amin, Yousefi, Hossein, and Delkhosh, Mehdi

Subjects
FLUID flow, POLYNOMIALS, PARTIAL differential equations
Abstract

In this paper, three numerical methods based on the Spectral methods to consider magneto-hydrodynamic (MHD) squeezing flow of a viscous incompressible fluid between two parallel disks with suction or injection are introduced. It is assumed that upper disk is movable in upward and downward directions while the lower disk is fixed but permeable. First, the governing partial differential equations by using viable similarity transforms convert to a system of nonlinear ordinary differential equations. Then, the system is solved by collocation method by using polynomials of shifted Chebyshev, Euler, and Bessel. Influence of flow parameters is discussed and to show the efficiency and capability of these methods, our results are compared with each other and with other researchers. Numerical solutions are obtained by using few numbers of collocation points. [ABSTRACT FROM AUTHOR]

Published
2017

15. A NEW APPROACH FOR SOLVING NONLINEAR THOMAS-FERMI EQUATION BASED ON FRACTIONAL ORDER OF RATIONAL BESSEL FUNCTIONS.

Author

PARAND, KOUROSH, GHADERI, AMIN, YOUSEFI, HOSSEIN, and DELKHOSH, MEHDI

Subjects
*BESSEL functions, *COLLOCATION methods, *THOMAS-Fermi approximation, *QUASILINEARIZATION, *ESTIMATES, *MATHEMATICAL models
Abstract

In this article, we introduce a fractional order of rational Bessel functions collocation method (FRBC) for solving the Thomas-Fermi equation. The problem is defined in the semi-infinite domain and has a singularity at x = 0 and its boundary condition occurs at infinity. We solve the problem on the semi-infinite domain without any domain truncation or transformation of the domain of the problem to a finite domain. This approach at first, obtains a sequence of linear differential equations by using the quasilinearization method (QLM), then at each iteration the equation is solves by FRBC method. To illustrate the reliability of this work, we compare the numerical results of the present method with some well-known results, to show that the new method is accurate, efficient and applicable. [ABSTRACT FROM AUTHOR]

Published
2016

Catalog

Books, media, physical & digital resources
See catalog results