S Chu, A Kurganov, M Na - Journal of Computational Physics, 2022 - Elsevier
We develop fifth-order A-WENO finite-difference schemes based on the path-conservative central-upwind method for nonconservative one-and two-dimensional hyperbolic systems of …
We propose third-order A-WENO finite difference schemes that are based on the recently introduced first-order numerical schemes in [NK Garg et al., Journal of Computational …
A new adaptive diffusion central numerical flux within the framework of fifth-order characteristicwise alternative WENO-Z finite-difference schemes (A-WENO) with a modified …
T Jiang, YH Liu, ZF Meng, PN Sun, XY Wei… - Computer Methods in …, 2024 - Elsevier
It is a notoriously challenge problem for Lagrangian particle methods to solve compressible flows with strong discontinuities and large volume variations. To overcome the problems of …
CC Ye, ZH Wan, DJ Sun - Computers & Fluids, 2022 - Elsevier
An alternative formulation of targeted ENO scheme (AFTENO) is proposed for hyperbolic conservation laws. The new scheme combines the advantages of targeted ENO (TENO) and …
P Li, T Li, WS Don, BS Wang - Journal of Scientific Computing, 2023 - Springer
The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR- AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …
In this study, we use a new approach, known as the Aboodh residual power series method (ARPSM), in order to obtain the analytical results of the Black–Scholes differential equations …
WS Don, DM Li, Z Gao, BS Wang - Journal of Scientific Computing, 2020 - Springer
The fifth, seventh and ninth order characteristic-wise alternative weighted essentially non- oscillatory (AWENO) finite difference schemes are applied to the fully conservative (FC) form …
In this paper we construct a novel discretization of the Cahn-Hilliard equation coupled with the Navier-Stokes equations. The Cahn-Hilliard equation models the separation of a binary …