A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation

In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system, which clearly show the reliability and efficiency of the presented algorithm.

Keywords:

Two stage iterative method , Splitting , Poisson's equation , Spectral radius

Authors

F. Shariffar

Department of Mathematics‎, ‎Lahijan Branch, Islamic Azad University, Lahijan, ‎Iran‎.

‎A. H. Refahi Sheikhani

Department of Mathematics‎, ‎Lahijan Branch, Islamic Azad University, Lahijan, ‎Iran.

Certificate
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https://civilica.com/doc/1887001

شناسه ملی سند علمی:

JR_IJIM-11-4_005

تاریخ نمایه سازی: 26 دی 1402

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Shariffar, F. and Refahi Sheikhani, ‎A. H.,1398,A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation,https://civilica.com/doc/1887001

Scientometrics

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Ranking of Islamic Azad University of Lahijan

Type of center: Azad University

Paper count: 4,273

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