Local Discontinuous Galerkin methods for fractional diffusion equations

Article Properties
Journal Category
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
10.1137/S0036142901390378
A second-order accurate numerical method for the two-dimensional fractional diffusion equation Journal of Computational Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Physics
 250 2007
10.1142/9789812817747_0001
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 69 2010
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 70 2008
Citations
Title Journal Journal Categories Citations Publication Date
Efficient and Accurate Spectral Method for Solving Fractional Differential Equations on the Half Line Using Orthogonal Generalized Rational Jacobi Functions Communications on Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 2024
A Bound-Preserving Numerical Scheme for Space–Time Fractional Advection Equations

 Fractal and Fractional
  • Science: Physics: Heat: Thermodynamics
  • Science: Mathematics: Analysis
  • Science: Mathematics
  • Science: Mathematics
 2024
The solution of the time-space fractional diffusion equation based on the Chebyshev collocation method Indian Journal of Pure and Applied Mathematics
  • Science: Mathematics
 2023
Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation Communications on Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 2023
Hybridizable discontinuous Galerkin methods for space-time fractional advection-dispersion equations Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics106
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods97
Technology: Engineering (General). Civil engineering (General)34
Science: Mathematics: Instruments and machines: Electronic computers. Computer science19
Science: Physics17
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software8
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics7
Technology: Mechanical engineering and machinery6
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases2
Technology: Chemical technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials1
Science: Science (General)1
Science: Physics: Heat: Thermodynamics1
Science: Mathematics: Analysis1
Technology: Manufactures: Production management. Operations management1
The category Science: Mathematics 106 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Local discontinuous Galerkin methods for fractional ordinary differential equations and was published in 2014. The most recent citation comes from a 2024 study titled Efficient and Accurate Spectral Method for Solving Fractional Differential Equations on the Half Line Using Orthogonal Generalized Rational Jacobi Functions. This article reached its peak citation in 2020, with 22 citations. It has been cited in 41 different journals, 14% of which are open access. Among related journals, the Computers & Mathematics with Applications cited this research the most, with 18 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year