91 citations · 313 across the 17 of their papers we have counts for
17 papers
-analysis of H3N3-2\textbf{}-based difference method for fractional hyperbolic equations
Rui-lian Du, Changpin Li, Zhi-zhong Sun
A novel H3N3-2 interpolation approximation for the Caputo fractional derivative of order is derived in this paper, which improves the popular L2C formula with (3-$α…
Spectral approximation of -fractional differential equation based on mapped Jacobi functions
Tinggang Zhao, Zhenyu Zhao, Changpin Li +1
Fractional calculus with respect to function , also named as -fractional calculus, generalizes the Hadamard and the Riemann-Liouville fractional calculi, which causes challen…
Two kinds of numerical algorithms for ultra-slow diffusion equations
Min Cai, Changpin Li, Yu Wang
In this article, two kinds of numerical algorithms are derived for the ultra-slow (or superslow) diffusion equation in one and two space dimensions, where the ultra-slow diffusion…
Monte Carlo method for parabolic equations involving fractional Laplacian
Caiyu Jiao, Changpin Li
We apply the Monte Carlo method to solving the Dirichlet problem of linear parabolic equations with fractional Laplacian. This method exploit- s the idea of weak approximation of r…
A Modified Walk-on-sphere Method for High Dimensional Fractional Poisson Equation
Caiyu Jiao, Changpin Li, Hexiang Wang +1
We develop walk-on-sphere for fractional Poisson equations with Dirichilet boundary conditions in high dimensions. The walk-on-sphere method is based on probabilistic represen tati…
Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant
Min Cai, George Em Karniadakis, Changpin Li
We study the dynamic evolution of COVID-19 cased by the Omicron variant via a fractional susceptible-exposedinfected-removed (SEIR) model. Preliminary data suggest that the symptom…