A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation
Subject Areas : International Journal of Industrial MathematicsF. Shariffar 1 , ‎A. H. Refahi Sheikhani 2
1 - Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
2 - Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
Keywords: Poisson's equation, Splitting, Spectral radius, Two stage iterative method,
Abstract :
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.