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 …

A new stochastic control problem of a dam–reservoir system installed in a river is analyzed
both mathematically and numerically. Water balance dynamics of the reservoir are piece …

Abstract The solutions of Hamilton-Jacobi (HJ) equations may contain discontinuous
derivatives, which brings numerical difficulties in capturing sharply these derivatives. This …

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

The authors of this research paper have introduced a new method for solving
Hamilton–Jacobi (HJ) equations called third-order weighted essentially nonoscillatory …

In this work, a fifth-order weighted essentially nonoscillatory scheme based on Legendre
polynomials is constructed for simulating Hamilton–Jacobi (HJ) equations in a finite …

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 …

This research describes a new fifth-order finite difference symmetrical WENO-Z scheme for
solving Hamilton-Jacobi equations. This method employs the same six-point stencil as the …