Solving Cantilever Beam Models by Reliable Iterative Methods

Solving large systems arising from fractional models by preconditioned methods

This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the time-independent space-fractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned gen...

Linking of direct and iterative methods in Markovian models solving

An article identifies and assesses an effectiveness of two different methods applied to solve linear equations systems which result while modeling of computer networks and systems with Markov chains. The paper considers both the hybrid of direct methods as well as classic one of iterative methods. Two varieties of Gauss elimination will be considered as an example of direct methods: the LU fact...

Iterative methods for solving non linear Fokker-Planck equation

The use of iterative methods for solving Black-Scholes equation

Generalized iterative methods for solving double saddle point problem

In this paper, we develop some stationary iterative schemes in block forms for solving double saddle point problem. To this end, we first generalize the Jacobi iterative method and study its convergence under certain condition. Moreover, using a relaxation parameter, the weighted version  of the Jacobi method together with its convergence analysis are considered. Furthermore, we extend a method...