In this paper, we propose a new weighted essentially non-oscillatory (WENO) procedure for
solving hyperbolic conservation laws, on uniform meshes. The new scheme combines …

In this research, a class of radial basis functions (RBFs) ENO/WENO schemes with a Lax–
Wendroff time discretization procedure, named as RENO/RWENO‐LW, for solving Hamilton …

In this paper, we propose a new scheme that combines weighted essentially non‐oscillatory
(WENO) procedures together with monotone upwind schemes to approximate the viscosity …

A new fifth-order, semi-discrete central-upwind scheme with a Lax–Wendroff time
discretization procedure for solving Hamilton–Jacobi (HJ) equations is presented. This is an …

This paper designs a modified weighted essentially non-oscillatory (WENO) scheme for
solving hyperbolic conservation laws. Using the switching principle based on inflection …

We describe briefly how a third‐order Weighted Essentially Nonoscillatory (WENO) scheme
is derived by coupling a WENO spatial discretization scheme with a temporal integration …

In this paper, we use some numerical methods namely Lax-Wendroff (LW), two-step Lax-
Friedrichs (LF), two variants of composite methods made up of Lax-Wendroff and the two …

In this paper, a scheme is presented for approximating solutions of non linear degenerate
parabolic equations which may contain discontinuous solutions. In the one-dimensional …

In this paper, the 2D incompressible Navier-Stokes (INS) equations in terms of vorticity and
stream function are considered. These equations describe the physics of many phenomena …

In this work we develop an efficient shock capturing scheme of the TVD flux limiter family for
viscous and nonviscous conservation laws. The new flux limiter method is based on the …