Results 71 to 80 of about 813 (83)

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
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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
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Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

Numerical Mathematics: Theory, Methods and Applications, 2018
We consider an approximation of second-order hyperbolic interface problems by partially penalized immersed finite element methods. In order to penalize the discontinuity of IFE functions, we add some stabilization terms at interface edges.
Qing Yang
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Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

Advances in Applied Mathematics and Mechanics, 2019
A new numerical method is proposed and investigated for solving twodimensional Black-Scholes option pricing model. This model is represented by Dirichlet initial-boundary value problem in a rectangular domain for a parabolic equation with advection ...
Limei Li
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The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations

Numerical Mathematics: Theory, Methods and Applications, 2018
In this paper, a Legendre Galerkin Chebyshev collocation method for the Burgers-like equations with fractional nonlinear term and diffusion term is developed.
Y. Ma
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Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

Communications in Computational Physics, 2019
The equioscillation principle is an important rule to fix the parameter for the Schwarz waveform relaxation (SWR) algorithm with Robin transmission conditions.
Shulin Wu, Chengming Huang
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A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

Advances in Applied Mathematics and Mechanics, 2018
We consider the time dependent Darcy problem in a three-dimensional axisymmetric domain and, by writing the Fourier expansion of its solution with respect to the angular variable, we observe that each Fourier coefficient satisfies a system of equations ...
Ajmia Younes Orfi and Driss Yakoubi
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Stability Analysis for Nonlinear Schrödinger Equations with Nonlinear Absorbing Boundary Conditions

, 2017
Jiwei Zhang, Zhenli Xu, Xiaonan Wu, Desheng Wang   +3 more
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Numerical Analysis of Inverse Elasticity Problemwith Signorini's Condition

, 2016
Cong Zheng, Xiaoliang Cheng, K. Liang
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Sixth-orderCompact ExtendedTrapezoidalRulesfor 2D Schrodinger Equation

, 2015
Xiaohua Liu, Yujiang Wu, Jinyun Yuan, Yantao Wang   +3 more
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