Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Yongbin Ge"'
Publikováno v:
Electronic Research Archive, Vol 31, Iss 6, Pp 3145-3168 (2023)
Nonlinear wave equations are widely used in many areas of science and engineering. This paper proposes two high-order compact (HOC) difference schemes with convergence orders of $ O\left({{\tau ^4} + h_x^4 + h_y^4} \right) $ that can be used to solve
Externí odkaz:
https://doaj.org/article/fe10b5a6dad044fb8c9ca8a7886bcad7
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 5, Pp 8601-8631 (2023)
The Keller-Segel model is a time-dependent nonlinear partial differential system, which couples a reaction-diffusion-chemotaxis equation with a reaction-diffusion equation; the former describes cell density, and the latter depicts the concentration o
Externí odkaz:
https://doaj.org/article/fc8ae4a2a91f44bbb4ee1ae5bc68b2a2
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 2 (2023)
In the work, a numerical method of the 2D Helmholtz equation with meshless interpolation collocation method is developed, which is defined in arbitrary domain with irregular shape. In our numerical method, based on the Chebyshev points, the partial d
Externí odkaz:
https://doaj.org/article/02e0b6d4db004aa29cf3a954d4ff2ee1
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 7, Pp 6764-6794 (2022)
The paper is concerned with development of an accurate and effective positivity-preserving high-order compact difference method for solving the Keller-Segel chemotaxis model, which is a kind of nonlinear parabolic-parabolic system in mathematical bio
Externí odkaz:
https://doaj.org/article/cb3da224a8e04b80a69b3e4eaa7be0bd
Publikováno v:
Axioms, Vol 12, Iss 11, p 1056 (2023)
In this paper, some rational high-accuracy compact finite difference schemes on nonuniform grids (NRHOC) are introduced for solving convection–diffusion equations. The derived NRHOC schemes not only can suppress the oscillatory property of numerica
Externí odkaz:
https://doaj.org/article/e15122bbcdd74c9ba3d517d99eecfef5
Publikováno v:
Axioms, Vol 12, Iss 7, p 651 (2023)
This paper proposes a higher-order blended compact difference (BCD) scheme on nonuniform grids for solving the three-dimensional (3D) convection–diffusion equation with variable coefficients. The BCD scheme has fifth- to sixth-order accuracy and co
Externí odkaz:
https://doaj.org/article/aded7602e8c3467e91b3ef9e075b1ccb
Autor:
Tingfu Ma, Yongbin Ge
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-30 (2020)
Abstract Blended compact difference (BCD) schemes with fourth- and sixth-order accuracy are proposed for approximating the three-dimensional (3D) variable coefficients elliptic partial differential equation (PDE) with mixed derivatives. With truncati
Externí odkaz:
https://doaj.org/article/8a260856cb5d4817a052dc75dbd596e3
Autor:
Yunzhi Jiang, Yongbin Ge
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract In this paper, an explicit fourth-order compact (EFOC) difference scheme is proposed for solving the two-dimensional(2D) wave equation. The truncation error of the EFOC scheme is O ( τ 4 + τ 2 h 2 + h 4 ) $O({\tau ^{4}} + {\tau ^{2}}{h^{2}
Externí odkaz:
https://doaj.org/article/10bffc9c4df441ab995d24665746bd22
Publikováno v:
Advances in Mathematical Physics, Vol 2022 (2022)
In this paper, we develop a highly accurate and efficient finite difference scheme for solving the two-dimensional (2D) wave equation. Based on the local one-dimensional (LOD) method and Padé difference approximation, a fourth-order accuracy explici
Externí odkaz:
https://doaj.org/article/392b46d8924b49738248f219c1660dba
Autor:
Tingfu Ma, Yongbin Ge
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-21 (2019)
Abstract A higher-order blended compact difference (BCD) scheme is proposed to solve the general two-dimensional (2D) linear second-order partial differential equation. The distinguishing feature of the present method is that methodologies of explici
Externí odkaz:
https://doaj.org/article/e4f547a403f144dbb9d4327b06be1b7f