Results 61 to 70 of about 818 (79)

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

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

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

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

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

Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

Numerical Mathematics: Theory, Methods and Applications, 2019
Finite difference scheme for the variable coefficients subdiffusion equations with non-smooth solutions is constructed and analyzed. The spatial derivative is discretized on a uniform mesh, and L1 approximation is used for the discretization of the ...
Mingrong Cui
semanticscholar   +1 more source

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

, 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

Linear and Unconditionally Energy Stable Schemes for the Multi-Component Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State

Communications in Computational Physics, 2019
In this paper we consider numerical solutions of the diffuse interface model with Peng-Robinson equation of state for the multi-component two-phase fluid system, which describes real states of hydrocarbon fluids in petroleum industry.
Chenfei Zhang
semanticscholar   +1 more source