Results 61 to 70 of about 813 (83)

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

Numerical Integrators for Dispersion-Managed KdV Equation

Communications in Computational Physics, 2022
In this paper, we consider the numerics of the dispersion-managed Kortewegde Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media.
Ying He null, Xiaofei Zhao
semanticscholar   +1 more source

Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

Communications in Computational Physics, 2021
In this work, two fully discrete grad-div stabilized finite element schemes for the fluid-fluid interaction model are considered. The first scheme is standard graddiv stabilized scheme, and the other one is modular grad-div stabilized scheme which adds ...
Wei Li
semanticscholar   +1 more source

Meshless method for the numerical solution of coupled Burgers equation

Applied Mathematical Sciences, 2022
The development and interest of numerical techniques for obtaining approximate solutions of partial differential equations has increased very much in last decades. Among there are meshless methods.
Johny Vallejo-Sanchez, J. Villegas G
semanticscholar   +1 more source

Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

Communications in Computational Physics, 2021
We consider reduced order modelling of elastodynamics with proper orthogonal decomposition and isogeometric analysis, a recent novel and promising discretization method for partial differential equations.
Richen Li
semanticscholar   +1 more source

Finite Difference Methods for Fractional Differential Equations on Non-Uniform Meshes

, 2021
The solutions of fractional equations with Caputo derivative often have a singularity at the initial time. Therefore, for numerical methods on uniform meshes it is difficult to achieve optimal convergence rates. To improve the convergence, Liu et al. [10]
Haili Qiao Aijie Cheng
semanticscholar   +1 more source

NumericAnalysis and Simulation of a Frictional Contact Problem with Wear, Damage and Long Memory

, 2020
A frictional contact model accounting the wear of the contact surface caused by the friction and the mechanical damage of the material is considered. The deformable body is comprised of a viscoelastic material with long memory and the process is assumed ...
Hailing Cheng
semanticscholar   +1 more source

Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

Communications in Computational Physics, 2020
In this paper, we develop central discontinuous Galerkin (CDG) finite element methods for solving the generalized Korteweg-de Vries (KdV) equations in one dimension.
Meng Jiao
semanticscholar   +1 more source

USING THE BAYESIAN FRAMEWORK FOR INFERENCE IN FRACTIONAL ADVECTION-DIFFUSION TRANSPORT SYSTEM

, 2020
This work shows for the first time the viability of using the Bayesian paradigm for both estimation and hypothesis testing when applied to fractional differential equations.
E. Boone, R. Ghanam, N. Malik, J. Whitlinger   +3 more
semanticscholar   +1 more source

Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

East Asian Journal on Applied Mathematics, 2020
A multi-time fractional-order reaction-diffusion equation with the Caputo fractional derivative is considered. On a uniform grid, the problem is discretised by using the L1 formula.
Haili Qiao Aijie Cheng
semanticscholar   +1 more source