Numerical method with high order accuracy for solving a anomalous subdiffusion equation

被引：0
作者：
Y. Chen
Chang-Ming Chen
机构：
[1] Xiamen University,School of Mathematical Sciences
来源：
Numerical Algorithms | 2016年 / 72卷
关键词：
Anomalous subdiffusion equation; Numerical method with high order accuracy; Convergence; Stability; Solvability; Fourier analysis; 26A33; 65M06; 65M12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a numerical method with second order temporal accuracy and fourth order spatial accuracy is developed to solve a anomalous subdiffusion equation; by Fourier analysis, the convergence, stability and solvability of the numerical method are analyzed; the theoretical results are strongly supported by the numerical experiment.
引用
收藏
页码：687 / 703
页数：16
相关论文
共 50 条
[41]   High-order numerical method for the fractional Korteweg-de Vries equation using the discontinuous Galerkin method [J].
Gu, Yanhua .
AIMS MATHEMATICS, 2025, 10 (01) :1367-1383
[42]   High-order efficient numerical method for solving a generalized fractional Oldroyd-B fluid model [J].
Yu, Bo .
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 66 (1-2) :749-768
[43]   High-order efficient numerical method for solving a generalized fractional Oldroyd-B fluid model [J].
Bo Yu .
Journal of Applied Mathematics and Computing, 2021, 66 :749-768
[44]   A High-Order Numerical Method Based on a Spatial Compact Exponential Scheme for Solving the Time-Fractional Black-Scholes Model [J].
Huang, Xinhao ;
Yu, Bo .
FRACTAL AND FRACTIONAL, 2024, 8 (08)
[45]   Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time- Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation [J].
Ji, Cui-Cui ;
Dai, Weizhong .
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2023, 16 (02) :511-540
[46]   Numerical methods for solving integro partial differential equation with fractional order [J].
Elborai, Mahmoud. M. ;
Abdou, M. A. ;
El-Sayed, W. ;
Awed, Sh. I. .
INTERNATIONAL JOURNAL OF EARLY CHILDHOOD SPECIAL EDUCATION, 2022, 14 (02) :1115-1132
[47]   A second-order positivity preserving numerical method for Gamma equation [J].
Koleva, Miglena N. ;
Vulkov, Lubin G. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 :722-734
[48]   A center Box method for radially symmetric solution of fractional subdiffusion equation [J].
Hu, Xiuling ;
Liao, Hong-Lin ;
Liu, F. ;
Turner, I. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 :467-486
[49]   High-order numerical schemes based on B-spline for solving a time-fractional Fokker-Planck equation [J].
Roul, Pradip ;
Kumari, Trishna .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 460
[50]   Efficient numerical method for solving Cauchy problem for the Gamma equation [J].
Koleva, Miglena N. .
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'11): PROCEEDINGS OF THE 37TH INTERNATIONAL CONFERENCE, 2011, 1410
12345