Local Error Estimate of an L1-Finite Difference Scheme for the Multiterm Two-Dimensional Time-Fractional Reaction–Diffusion Equation with Robin Boundary …
In this paper, the numerical method for a multiterm time-fractional reaction–diffusion
equation with classical Robin boundary conditions is considered. The full discrete scheme is …
equation with classical Robin boundary conditions is considered. The full discrete scheme is …
Effective numerical simulation of time fractional KdV equation with weakly singular solutions.
A second-order time-stepping method for numerically solving the linearized time fractional
KdV equation (TFKDVE) whose solution has initial singularity is investigated. Alikhanov's …
KdV equation (TFKDVE) whose solution has initial singularity is investigated. Alikhanov's …
A fast compact difference scheme on graded meshes for solving the time-fractional nonlinear KdV equation
X Liu, J Shi, X Yang - International Journal of Computer …, 2024 - Taylor & Francis
The fractional KdV equation has significant physical implications, the study of its efficient
method has great scientific significance. A fast compact difference (FCD) scheme on graded …
method has great scientific significance. A fast compact difference (FCD) scheme on graded …
Local error estimate of L1 scheme on graded mesh for time fractional Schrödinger equation
J Ma, H Chen - Journal of Applied Mathematics and Computing, 2024 - Springer
In this work, a time fractional Schrödinger equation with Caputo fractional derivative of order
α∈(0, 1) is considered, whose solution exhibits a weak singularity at initial time. We divide …
α∈(0, 1) is considered, whose solution exhibits a weak singularity at initial time. We divide …
Error Analysis of an Alternating Direction Implicit Difference Method for 2D Subdiffusion Equation with Initial Singularity
W Liu, H Chen - Taiwanese Journal of Mathematics, 2024 - projecteuclid.org
The alternating direction implicit (ADI) scheme is used to numerically solve the 2D
subdiffusion equation with initial singularity. The time derivative is defined by the commonly …
subdiffusion equation with initial singularity. The time derivative is defined by the commonly …