Results 91 to 100 of about 379 (111)

High-Order Local Artificial Boundary Conditions for the Fractional Diffusion Equation on One-Dimensional Unbounded Domain

, 2017
Wei Zhang, Can Li, Xiaonan Wu, Jiwei Zhang   +3 more
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An Improved Two-Grid Technique for the Nonlinear Time-Fractional Parabolic Equation Based on the Block-Centered Finite Difference Method

Journal of Computational Mathematics, 2022
A combined scheme of the improved two-grid technique with the block-centered finite difference method is constructed and analyzed to solve the nonlinear time-fractional parabolic equation.
Xiaoli Li, Yanping Chen null, Chuanjun Chen   +2 more
semanticscholar   +1 more source

A $\theta$-$L$ Approach for Solving Solid-State Dewetting Problems

Journal of Computational Mathematics, 2022
We propose a θ-L approach for solving a sharp-interface model about simulating solidstate dewetting of thin films with isotropic/weakly anisotropic surface energies.
Weijie Huang, Wei Jiang null, Yan Wang
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Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

Communications in Computational Physics, 2021
In this paper, we propose a class of numerical methods based on discretevelocity vector-BGK models for the incompressible Navier-Stokes equations.
Jin Zhao
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Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

Advances in Applied Mathematics and Mechanics, 2022
In this work, spatial second order positivity preserving characteristic blockcentered finite difference methods are proposed for solving convection dominated diffusion problems.
Xin Li null, Kai Fu
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Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations

Oberwolfach Reports, 2022
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and ...
C. Klingenberg, Qin Li, Marlies Pirner
semanticscholar   +1 more source

Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

Numerical Mathematics: Theory, Methods and Applications, 2021
We present a simple and fast explicit hybrid numerical scheme for the motion by mean curvature on curved surfaces in three-dimensional (3D) space. We numerically solve the Allen-Cahn (AC) and conservative Allen-Cahn (CAC) equations on a triangular ...
Yongho Choi
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Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System

Numerical Mathematics: Theory, Methods and Applications, 2019
. In this work, we propose and analyze a second-order accurate numerical scheme, both in time and space, for the multi-dimensional Poisson-Nernst-Planck system.
Jie Ding
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Numerical integration of nonlinear FitzHugh-Nagumo Partial Differential Equations using second derivative two-step hybrid algorithm

Ife Journal of Science
This manuscript presents a second derivative two-step hybrid block method derived through collocation techniques. The derived scheme and the sixth order compact difference schemes are used to efficiently solve the nonlinear FitzHugh-Nagumo Partial ...
B. Akinnukawe, E. Atteh
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Pricing American Options under Regime-Switching Model with a Crank-Nicolson Fitted Finite Volume Method

East Asian Journal on Applied Mathematics, 2020
A new numerical method for pricing American options under regime-switching model is developed. The original problem is first approximated by a set of nonlinear partial differential equations. After that a novel fitted finite volume method for the spatial
Xiao Yin
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