Numerical conservation laws of time fractional diffusion PDEs
DOI10.1007/s13540-022-00059-7zbMath1503.65165arXiv2203.01966OpenAlexW4283367794WikidataQ114016988 ScholiaQ114016988MaRDI QIDQ2110534
Angelamaria Cardone, Gianluca Frasca-Caccia
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.01966
conservation lawsspectral methodtime fractional diffusionstructure preservationnumerical solution of fractional PDEs
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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- G-symplectic second derivative general linear methods for Hamiltonian problems
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Discrete gradient methods have an energy conservation law
- Numerical integration of Hamiltonian problems by G-symplectic methods
- High order exponentially fitted methods for Volterra integral equations with periodic solution
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Conservation laws for time-fractional subdiffusion and diffusion-wave equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation
- Introduction to fractional differential equations
- Two-step collocation methods for fractional differential equations
- Numerical preservation of long-term dynamics by stochastic two-step methods
- Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
- Conservation laws of \((3+\alpha)\)-dimensional time-fractional diffusion equation
- High-order finite difference schemes for the solution of second-order BVPs
- A new class of strong stability preserving general linear methods
- Numerical conservation laws of time fractional diffusion PDEs
- On a study of some classes of the fourth-order KdV-Klein/Gordon equation and its time fractional forms
- A new technique for preserving conservation laws
- Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker-Planck equations for special stochastic process in foreign exchange markets
- Exponentially fitted two-step peer methods for oscillatory problems
- Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation
- A new collection of real world applications of fractional calculus in science and engineering
- Perturbative analysis of stochastic Hamiltonian problems under time discretizations
- Numerical preservation of multiple local conservation laws
- Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations
- Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation
- Locally conservative finite difference schemes for the modified KdV equation
- A discrete orthogonal polynomials approach for coupled systems of nonlinear fractional order integro-differential equations
- Numerical solution of time fractional diffusion systems
- Anisotropic non-linear time-fractional diffusion equation with a source term: classification via Lie point symmetries, analytic solutions and numerical simulation
- Space-time fractional Klein-Gordon equation: symmetry analysis, conservation laws and numerical approximations
- Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black-Scholes equation
- Lie symmetry reductions and conservation laws for fractional order coupled KdV system
- Line Integral Methods for Conservative Problems
- Symplectic Exponentially-Fitted Modified Runge-Kutta Methods of the Gauss Type: Revisited
- A General Framework for Deriving Integral Preserving Numerical Methods for PDEs
- The Multiplier Method to Construct Conservative Finite Difference Schemes for Ordinary and Partial Differential Equations
- The numerical integration of relative equilibrium solutions. Geometric theory
- Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process
- Simple bespoke preservation of two conservation laws
- Numerical treatment of fractional-order nonlinear system of delay integro-differential equations arising in biology
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Fractional Spectral Collocation Method
- Geometric integrators for ODEs
- Geometric Numerical Integration