scholarly journals Numerical Solution of a System of Polynomial Parametric Form Fuzzy Linear Equations

10.5772/13079 ◽  
2010 ◽  
Author(s):  
Majid Amirfakhrian
2017 ◽  
Vol 13 ◽  
pp. 16
Author(s):  
Michal Bošanský ◽  
Bořek Patzák

The paper deals with parallel approach for the numerical solution of large, sparse, non-symmetric systems of linear equations, that can be part of any finite element software. In this contribution, the differences between the sequential and parallel solution are highlighted and the approach to efficiently interface with distributed memory version of SuperLU solver is described.


1973 ◽  
Vol 66 (1) ◽  
pp. 87
Author(s):  
Jerome Niebaum

2020 ◽  
Author(s):  
Mikhail Kruglyakov ◽  
Alexey Kuvshinov

<p> In this contribution, we present novel global 3-D electromagnetic forward solver based on a numerical solution of integral equation (IE) with contracting kernel. Compared to widely used x3dg code which is also based on IE approach, new solver exploits alternative (more efficient and accurate) numerical algorithms to calculate Green’s tensors, as well as an alternative (Galerkin) method to construct the system of linear equations (SLE). The latter provides guaranteed convergence of the iterative solution of SLE. The solver outperforms x3dg in terms of accuracy, and, in contrast to (sequential) x3dg, it allows for efficient parallel computations, meaning that the code has practically linear scalability up to the hundreds of processors.</p>


Mathematics ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 508 ◽  
Author(s):  
Aasma Khalid ◽  
Muhammad Nawaz Naeem ◽  
Zafar Ullah ◽  
Abdul Ghaffar ◽  
Dumitru Baleanu ◽  
...  

This paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and hydro-magnetic stability, engineering, applied physics, fluid dynamics, and applied mathematics. The recommended method transforms the boundary problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 8th order BVPs using Cubic-B spline but it also describes the estimated derivatives of 1st order to 8th order of the analytic solution. The strategy is effectively applied to numerical examples and the outcomes are compared with the existing results. The method proposed in this paper provides better approximations to the exact solution.


2019 ◽  
Vol 37 (6) ◽  
pp. 8275-8287 ◽  
Author(s):  
Muhammad Akram ◽  
Ghulam Muhammad ◽  
Nawab Hussain

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