فهرس المقالات Iterative method

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  1 - A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation
  F. Shariffar ‎A. H. Refahi Sheikhani
  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 ari أکثر

  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. تفاصيل المقالة
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  2 - On the Solution of Volterra-Fredholm Integro-Differential Equation by Using New Iterative Method
  A. Jafarian
  10.30495/ijim.2022.63781.1553
  Integro-differential equations arise in various physical and biological problems. In this paper, a new iterative technique for solving linear Volterra-Fredholm integro-differential equation (VFIDE) has been introduced. The method is discussed in details and it is illust أکثر

  Integro-differential equations arise in various physical and biological problems. In this paper, a new iterative technique for solving linear Volterra-Fredholm integro-differential equation (VFIDE) has been introduced. The method is discussed in details and it is illustrated by solving some numerical examples. The approximate solution is most easily produced iteratively via the recurrence relation. Results are compared with the exact solutions, which reveal that new iteration method is very effective and convenient. تفاصيل المقالة
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  3 - On the modification of the preconditioned AOR iterative method for linear system
  H. Almasieh S. Gholami
  In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method.

  In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method. تفاصيل المقالة
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  4 - A new Approximation to the solution of the linear matrix equation AXB = C
  A. Sadeghi
  It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homo أکثر

  It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method. تفاصيل المقالة
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  5 - Numerical techniques for solving bipolar neutrosophic system of linear equations
  M. Gulistan I. Beg A. Malik
  In this paper, based on embedding approach three numericalmethods namely Richardson, Gauss-Seidel, and successive over relaxation (SOR)have been developed to solve bipolar neutrosophic system of linear equations.To check the accuracy of these newly developed schemes an أکثر

  In this paper, based on embedding approach three numericalmethods namely Richardson, Gauss-Seidel, and successive over relaxation (SOR)have been developed to solve bipolar neutrosophic system of linear equations.To check the accuracy of these newly developed schemes an example with exactand iterative solution is given. تفاصيل المقالة