The modified alternating group explicit (MAGE) algorithm for solving tridiagonal linear equations
W.S. Yousif,David J. Evans +1 more
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TL;DR: A modified form of the AGE iterative algorithm for solving a tridiagonal system of linear equations is presented and is shown to require reduced computational effort and have similar convergence and stability properties to the previous AGE scheme.
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Abstract: In this short paper, a modified form of the AGE iterative algorithm for solving a tridiagonal system of linear equations is presented. The new algorithm is shown to require reduced computational effort and have similar convergence and stability properties to the previous AGE scheme.
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Citations
A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
Srinivasan Natesan,N. Ramanujam +1 more
TL;DR: A computational method is suggested in which exponentially fitted difference schemes are combined with classical numerical methods to obtain numerical solution of singularly perturbed turning point problems for second order ordinary differential equations exhibiting twin boundary layers.
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Performance of HSAGE method with seikkala derivative for 2-D fuzzy poisson equation
TL;DR: In this article, iterative methods particularly families of Alternating Group Explicit (AGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs).
On a new weight tri-diagonal iterative method and its applications
Damrongsak Yambangwai,Watcharaporn Cholamjiak,Tanakit Thianwan,Hemen Dutta +3 more
- 01 Jan 2021
TL;DR: A new weight tri-diagonal iterative method in solving system of linear equation is proposed and its convergence is discussed and demonstrates a better performance compared with weight Jacobi, successive-over relaxation and alternating group explicit methods.
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A new sixth-order approximation for nonlinear two-point boundary value problems: application of single-step alternating group explicit iteration method to engineering problems
TL;DR: A new three-point compact sixth-order approximation for the solution of nonlinear two-point boundary value problems, subject to natural boundary conditions prescribed at two end points is reported.
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On modified alternating group explicit (mage) method for singular perturbation problems
Mohan K. Kadalbajoo,A. Appajirao +1 more
TL;DR: In this paper, the application of Modified Alternating Group Explicit (MAGE) method for singular perturbation problems has been discussed and the solutions obtained by this method are compared with the exact solution.
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