To solve fractional delay differential equation systems, the Laguerre Wavelets Method (LWM) is presented and coupled with steps method in this article. Caputo derivative used proposed technique. The results show that current procedure accurate reliable. Different nonlinear systems have been solved, compared to exact solution different methods. Furthermore, it clear from figures LWM error conver...

as narrative discourses and discursive thematic frame- works on social issues in media can provide us with an insight into how different understandings and perspectives serve to construct dif- ferent presentations of social actors, social events as well as social re- lations and conflicts, it seems necessary to take them into more seri- ous considerations. to this end, the present study was an ...

In this paper, we give a fourth-order compact finite difference scheme for the general forms of two point boundary value problems and two dimensional elliptic partial differential equations (PDE’s). By decomposing the coefficient matrix into a sum of several matrixes after we discretize the original problem, we can obtain a lower bound for the smallest eigenvalue of the coefficient matrix. Thus...

We study the ability of high order numerical methods to propagate discrete waves at the same speed as the physical waves in the case of the one-way wave equation. A detailed analysis of the finite element method is presented including an explicit form for the discrete dispersion relation and a complete characterisation of the numerical Bloch waves admitted by the scheme. A comparision is made w...

The time discretization of a very high-order finite volume method may give rise to new numerical difficulties resulting into accuracy degradations. Indeed, for the simple onedimensional unstationary convection-diffusion equation for instance, a conflicting situation between the source term time discretization and the boundary conditions may arise when using the standard Runge-Kutta method. We p...

The purpose of this paper is to produce an efficient zero-stable numerical method with the same order of accuracy as that of the main starting values predictors for direct solution of fourth-order differential equations without reducing it to a system of first-order equations. The method of collocation of the differential system arising from the approximate solution to the problem is adopted us...

In this paper we consider A(θ)-stable finite difference methods for numerical solutions of dissipative partial differential equations of parabolic type. Combining two rational approximation methods with different orders of accuracy, where the lower order method is applied n0 times (n0 fixed) at each time step, we prove the existence of a second order method which is contractive for all time ste...

The dispersion and dissipation properties of numerical methods are very important in wave simulations. In this paper, such properties are analyzed for Runge-Kutta discontinuous Galerkin methods and Lax-Wendroff discontinuous Galerkin methods when solving the linear advection equation. With the standard analysis, the asymptotic formulations are derived analytically for the discrete dispersion re...