An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation

Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations

(2021) Hongfei Fu et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

(2021) O. Nikan et al.   Communications in Nonlinear Science and Numerical Simulation

Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations

(2021) Chen Zhu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

(2020) Jun Liu et al.   APPLIED NUMERICAL MATHEMATICS

Analysis of adaptive BDF2 scheme for diffusion equations

(2020) Hong-lin Liao et al.   MATHEMATICS OF COMPUTATION

An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations

(2019) Wenlin Qiu et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model

(2019) Wenlin Qiu et al.   NUMERICAL ALGORITHMS

Fast high order difference schemes for the time fractional telegraph equation

(2019) Yuxiang Liang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel

(2019) M. Hosseininia et al.   CHAOS SOLITONS & FRACTALS

A compact finite difference scheme for the fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel

(2019) Da Xu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation

(2017) Hongbin Chen et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

(2017) Martin Stynes et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation

(2017) Ying Wang et al.   Advances in Difference Equations

Fundamental solution of the multi-dimensional time fractional telegraph equation

(2017) Milton Ferreira et al.   Fractional Calculus and Applied Analysis

A new treatment based on hybrid functions to the solution of telegraph equations of fractional order

(2016) N. Mollahasani et al.   APPLIED MATHEMATICAL MODELLING

Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line

(2016) M.S. Hashemi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

(2016) M. H. Heydari et al.   Advances in Applied Mathematics and Mechanics

High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation

(2015) S. Chen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation

(2015) Vahid Reza Hosseini et al.   European Physical Journal Plus

Numerical simulation for the three-dimension fractional sub-diffusion equation

(2014) J. Chen et al.   APPLIED MATHEMATICAL MODELLING

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

(2014) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation

(2013) Leilei Wei et al.   CALCOLO

Numerical analysis of a two-parameter fractional telegraph equation

(2013) Neville J. Ford et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations

(2013) Hong Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

(2008) Hong-Lin Liao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Analytical solution for the time-fractional telegraph equation by the method of separating variables

(2007) J. Chen et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS