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

10.5772/13079 ◽  
2010 ◽  
Author(s):  
Majid Amirfakhrian
Keyword(s):  
Numerical Solution ◽  
Linear Equations ◽  
Parametric Form

scholarly journals PARALLEL APPROACH TO SOLVE OF THE DIRECT SOLUTION OF LARGE SPARSE SYSTEMS OF LINEAR EQUATIONS

2017 ◽  
Vol 13 ◽  
pp. 16
Author(s):  
Michal Bošanský ◽  
Bořek Patzák
Keyword(s):  
Finite Element ◽  
Numerical Solution ◽  
Distributed Memory ◽  
Linear Equations ◽  
Direct Solution ◽  
Parallel Solution ◽  
Finite Element Software ◽  
Systems Of Linear Equations ◽  
Sparse Systems ◽  
Symmetric Systems

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.

Numerical Solution of Linear Equations

1973 ◽  
Vol 66 (1) ◽  
pp. 87
Author(s):  
Jerome Niebaum
Keyword(s):  
Numerical Solution ◽  
Linear Equations

Introducing new global electromagnetic modeling solver

2020 ◽  
Author(s):  
Mikhail Kruglyakov ◽  
Alexey Kuvshinov
Keyword(s):  
Integral Equation ◽  
Galerkin Method ◽  
Numerical Solution ◽  
Linear Equations ◽  
Numerical Algorithms ◽  
Iterative Solution ◽  
Parallel Computations ◽  
Electromagnetic Modeling ◽  
System Of Linear Equations

<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>

scholarly journals Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells

Mathematics ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 508 ◽  
Author(s):  
Aasma Khalid ◽  
Muhammad Nawaz Naeem ◽  
Zafar Ullah ◽  
Abdul Ghaffar ◽  
Dumitru Baleanu ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Numerical Solution ◽  
Applied Mathematics ◽  
Cylindrical Shells ◽  
Linear Equations ◽  
Beam Theory ◽  
Applied Physics ◽  
Approximation Solution ◽  
B Splines ◽  
Magnetic Stability

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.

Bipolar fuzzy system of linear equations with polynomial parametric form

2019 ◽  
Vol 37 (6) ◽  
pp. 8275-8287 ◽  
Author(s):  
Muhammad Akram ◽  
Ghulam Muhammad ◽  
Nawab Hussain
Keyword(s):  
Fuzzy System ◽  
Linear Equations ◽  
Parametric Form ◽  
System Of Linear Equations
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