In this research the numerical solution of nonlinear degenerate parabolic equations is
investigated by a new sixth‐order finite difference weighted essentially nonoscillatory …

In this research, a new high‐order WENO method for solving 1D, 2D and 3D non‐linear
degenerate parabolic equations which may contain discontinuous solutions has been …

One of the best ideas for controlling the Gibbs oscillations in hyperbolic conservation laws is
to apply weighted essentially non‐oscillatory (WENO) schemes. The traditional WENO and …

In this paper, a new WENO procedure is proposed to approximate the viscosity solution of
the Hamilton–Jacobi (HJ) equations. In the one-dimensional (1D) case, an optimum …

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 …

The aim of this paper is to study the numerical application of radial basis functions (RBFs)
approximation in the reconstruction process of well known ENO/WENO schemes. The …

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

The uniformly non-oscillatory (UNO) limiters with second-order accuracy are updated to
handle nonuniform cell obtained from wavelet-based cell adaptation. These limiters are then …

In this paper, a fifth-order weighted essentially nonoscillatory scheme is presented for
simulating dam-break flows in a finite difference framework. The new scheme is a convex …

In this paper, a sixth-order finite difference weighted essentially non-oscillatory (WENO)
scheme is developed to approximate the viscosity solution of the Hamilton–Jacobi …