Obtaining artificial boundary conditions for fractional sub-diffusion equation on space two-dimensional unbounded domains

DOI10.1016/j.camwa.2014.05.006zbMath1368.35272OpenAlexW2054927636MaRDI QIDQ2013736

Yanyan Li

Publication date: 9 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.05.006

zbMATH Keywords

Laplace transformfractional sub-diffusion equationartificial boundary conditionmodified Bessel equationtwo-dimensional unbounded domain

Mathematics Subject Classification ID

Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fractional partial differential equations (35R11)

Related Items

A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations, Numerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic spline, A Fast Temporal Second Order Difference Scheme for the Fractional Sub-diffusion Equations on One Dimensional Space Unbounded Domain, The numerical computation of the time fractional Schrödinger equation on an unbounded domain, Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations, Numerical Solution of the Time-Fractional Sub-Diffusion Equation on an Unbounded Domain in Two-Dimensional Space, A higher order non-polynomial spline method for fractional sub-diffusion problems, Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations, High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips, Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations, Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain, Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation
• Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
• An implicit RBF meshless approach for time fractional diffusion equations
• A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
• Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
• Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
• Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
• Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
• Exact and approximating boundary conditions for the parabolic problems on unbounded domains
• A class of artificial boundary conditions for heat equation in unbounded domains
• Polynomial and nonpolynomial spline methods for fractional sub-diffusion equations
• Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
• Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation
• The fundamental solution of the space-time fractional advection-dispersion equation
• The finite difference approximation for a class of fractional sub-diffusion equations on a space unbounded domain
• A Kansa-type MFS scheme for two-dimensional time fractional diffusion equations
• Exact and approximate artificial boundary conditions for the hyperbolic problems in unbounded domains
• The space-time fractional diffusion equation with Caputo derivatives
• Calculation of the complex zeros of the modified bessel function of the second kind and its derivatives
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains
• The time fractional diffusion equation and the advection-dispersion equation
• Artificial Boundary Method
• Complex Zeros of the Modified Bessel Function K n (Z)
• The random walk's guide to anomalous diffusion: A fractional dynamics approach