Zobrazeno 1 - 10
of 105
pro vyhledávání: '"PENGZHAN HUANG"'
Publikováno v:
Axioms, Vol 12, Iss 9, p 816 (2023)
In this paper, we first established a high-accuracy difference scheme for the time-fractional Schrödinger equation (TFSE), where the factional term is described in the Caputo derivative. We used the L1-2-3 formula to approximate the Caputo derivativ
Externí odkaz:
https://doaj.org/article/b238fbed7aa2437eba9531d05ad938aa
Publikováno v:
Boundary Value Problems, Vol 2019, Iss 1, Pp 1-19 (2019)
Abstract In this paper, a linear, stabilized, non-spatial iterative, partitioned time stepping method is developed and studied for the nonlinear Navier–Stokes/Navier–Stokes interaction. A backward Euler scheme is utilized for the temporal discret
Externí odkaz:
https://doaj.org/article/dfe6f20733fd40d590682efab0b7d18b
Autor:
Aytura Keram, Pengzhan Huang
Publikováno v:
Entropy, Vol 24, Iss 4, p 543 (2022)
In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common Uzawa iterat
Externí odkaz:
https://doaj.org/article/4c2bc071429b401bb3408f8a992a3ec2
Autor:
Yaxin Wei, Pengzhan Huang
Publikováno v:
Entropy, Vol 24, Iss 2, p 236 (2022)
In this paper, we consider the stationary double-diffusive natural convection model, which can model heat and mass transfer phenomena. Based on the fixed point theorem, the existence and uniqueness of the considered model are proved. Moreover, we des
Externí odkaz:
https://doaj.org/article/ad24d5632e3b42aabef68f966314cf13
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-15 (2018)
Abstract In this paper, firstly, we solve the linear 3D Schrödinger equation using Douglas–Gunn alternating direction implicit (ADI) scheme and high-order compact (HOC) ADI scheme, which have the order O(τ2+h2) $O(\tau^{2}+h^{2})$ and O(τ2+h4) $
Externí odkaz:
https://doaj.org/article/c70e2db26f834bb79a28ab326d63683c
Publikováno v:
Mathematical Modelling and Analysis, Vol 19, Iss 1 (2014)
In this article, we present two-grid stable mixed finite element method for the 2D Burgers’ equation approximated by the -P1 pair which satisfies the inf–sup condition. This method consists in dealing with the nonlinear system on a coarse mesh wi
Externí odkaz:
https://doaj.org/article/5bac6c20656a47daaeb945c19d9e3f87
Publikováno v:
Mathematical Modelling and Analysis, Vol 18, Iss 3 (2013)
In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between th
Externí odkaz:
https://doaj.org/article/fc7a6f276a0e42f29c944770bf52abab
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space
Externí odkaz:
https://doaj.org/article/1811db40ec0d46a19575d626e8940be3
Autor:
XINGWEI YANG1 xingwei@stu.xju.edu.cn, PENGZHAN HUANG1 hpzh@xju.edu.cn, YINNIAN HE2 heyn@mail.xjtu.edu.cn
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2024, Vol. 21 Issue 4, p476-503. 28p.
Autor:
HAOCHEN LIU1 liuhaochen@stu.xju.edu.cn, PENGZHAN HUANG1 hpzh@xju.edu.cn, YINNIAN HE2 heyn@mail.xjtu.edu.cn
Publikováno v:
International Journal of Numerical Analysis & Modeling. 2023, Vol. 20 Issue 4, p557-576. 20p.