- Thursday, August 6, 2015
- Published at:International Journal of Applied Mathematics, Vol.28, No.3, 2015,177-195
- In this article some numerical methods, namely: the Taylor expansion method and the Trapezoidal method have been implemented to solve a fuzzy Fredholm integral equation of the second kind. Consequently, we convert a linear fuzzy Fredholm integral equation of the second kind into a linear system of integral equations of the second kind in crisp case. To demonstrate the credibility of these numerical schemes we consider a numerical test examlple. The numerical results show to be in a close agreement with the exact solution.
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- Wednesday, November 27, 2013
- Published at:International Journal of Computational Mathematics,Vol.24, Issue No. 3, 2014
- The main purpose of this paper is the numerical solution of the one-dimensional linear Fredholm integral equation of the second kind by the collocation and the Nystroem methods using the Lagrange basis functions for piecewise linear interpolation. Some effective algorithms implementing these methods using Matlab software have been constructed. The numerical results of test examples are also included to verify the performance of the proposed algorithms.
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- Friday, March 15, 2013
- Published at:European Journal of Mathematical Sciences, Vol.2,No.1,2013,51-61
- In this paper a rigorous convergence and error analysis of the Galerkin boundary element method for the heat radiation integral equation in convex and non-convex enclosure geometries is presented. The convergence of the approximation is shown and quasi-optimal error estimates are presented. Numerical results have shown to be consistent with available theoretical resultsd
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- Monday, March 5, 2012
- Published at:International Journal of Mathematical Engineering and Science
- This article is concerned with the formulation and analytical solution of equations for modeling a steady two-dimensional MHD flow of an electrically conducting viscous incompressible fluid in porous media in the presence of a transverse magnetic field. The governing equations namely, Navier-Stokes equations and the Darcy-Lapwood-Brinkman model are employed for the flow through the poprous media. The solutions obtained for the Riabouchinsky-type flows are then classified into different types.
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- Monday, January 30, 2012
- Published at:International Journal of Modern Engineering Research, Vol.2, No.1,(2012)390-402
- This paper gives very significant and up-to-date analytical and numerical results to the MHD flow version of the classical Rayleigh problem including Hall effect. An exact solution of the MHD flow of incompressible, electrically, conducting, viscous fluid past a uniformly accelerated and insulated infinite plate has been presented. Numerical values for the effects of the Hall parameter N and the Hartmann number M on the velocity components u and v are tabulated and their profiles are shown graphically. The numerical results show that the velocity component u increases with the increase of N and decreases with the increase of M. Whereas, the velocity component v increases with the increase of both M and N. These numerical results have shown to be in a good agreement with the analytical solution.
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