High-Order BDF Convolution Quadrature for Subdiffusion Models with a Singular Source Term
Author:
Affiliation:
1. School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou, 730000, People’s Republic of China.
Funder
Science Fund for Distinguished Young Scholars of Gansu Province
Fundamental Research Funds for the Central Universities
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Numerical Analysis,Applied Mathematics,Computational Mathematics
Reference32 articles.
1. High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights
2. Two L1 Schemes on Graded Meshes for Fractional Feynman-Kac Equation
3. A sharp error estimate of piecewise polynomial collocation for nonlocal problems with weakly singular kernels
4. Backward Difference Formulae: The Energy Technique for Subdiffusion Equation
5. Convolution quadrature time discretization of fractional diffusion-wave equations
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1. Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms;Communications in Nonlinear Science and Numerical Simulation;2024-11
2. High-Order BDF Convolution Quadrature for Fractional Evolution Equations with Hyper-singular Source Term;Journal of Scientific Computing;2024-08-17
3. Crank–Nicolson Schemes for Sub-Diffusion Equations with Nonsingular and Singular Source Terms in Time;Journal of Scientific Computing;2024-01-18
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