Monotonically Iterative Method for the Cantilever Beam Equations

A New Iterative Method For Solving Fuzzy Integral ‎Equations

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are ‎valid.‎

High order quadrature based iterative method for approximating the solution of nonlinear equations

In this paper, weight function and composition technique is utilized to speeds up the convergence order and increase the efficiency of an existing quadrature based iterative method. This results in the proposition of its improved form from a two-point quadrature based method of convergence order ρ = 3 with efficiency index EI = 1:3161 to a three-point method of convergence order ρ = 8 with EI =...

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

Alternating Group Iterative Method for Diffusion Equations

In this paper, a class of alternating group explicit iterative parallel method(AGI) is derived for solving diffusion equations based on a high order implicit scheme. Also the convergence analysis and the stability analysis are given. In order to verify the results, several numerical examples are presented in the end of the paper. Mathematics Subject Classification: 65M06, 74S20

A Fast Iterative Method for Eikonal Equations

In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions on those nodes until they converge. Nodes are added to or removed from the list based on a convergence measure, but the management of this list does not entail the the extra burden of expensive ordered data structures ...