In this paper, we will consider the linear advection equation in one space dimension. Numerical analysis the efficiency of the minmod scheme, MC scheme, Valeer scheme the super bee scheme, Beam warming scheme, Fromm scheme. Some numerical experiments are presented to show the efficiency of the schemes.

We consider a novel second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids which was originally introduced in [3] . Here, in several numerical experiments we demonstrate accuracy, high resolution and robustness of the proposed method.

A meshless numerical technique is proposed for solving the generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system with electromagnetic fields. The employed meshless technique is based on a generalized smoothed particle hydrodynamics (SPH) approach. The spatial direction has been discretized with the generalized SPH technique. Thus, we obtain a system of ordinary...

in chemical engineering, several processes are represented by singular boundary value problems. in general, classical numerical methods fail to produce good approximations for the singular boundary value problems. in this paper, chebyshev finite difference (chfd) method and dtm-pad´e method, which is a combination of differential transform method (dtm) and pad´e approximant, are applied for sol...

in this paper a new guidance technique for ballistic missiles and launch vehicles is proposed. generally the lambert guidance is used to generate missile nominal (correlated) parameters through powered flight to put it in a ballistic flight path. because of uncertainties and undesired factors, the nominal position and velocity obtained by lambert technique need to be followed in actual flight. ...

RBF-Pseudospectral is used for the numerical solution of complex modified Kortewege-de Vries (CmKdV) equation. The numerical scheme is fast and accurate. There is no linearization of the nonlinear terms. The scheme is tested for single solitary wave, two and three solitary waves interaction. The results of the numerical scheme are compared with other meshless method of lines and the earlier work.

In this work, we propose a new numerical scheme for the anisotropic mean curvature equation. The solution of the scheme is not unique, but for all numerical solutions, we provide an error estimate between the continuous solution and the numerical approximation. Our scheme is also applicable to compute the solution to dislocations dynamics equation. We also provide some numerical simulations. AM...

In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Fina...

In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...