Numerical conservation laws of time fractional diffusion PDEs (Q2110534)

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English	Numerical conservation laws of time fractional diffusion PDEs	scientific article

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instance of

scholarly article

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title

Numerical conservation laws of time fractional diffusion PDEs (English)

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author

Angelamaria Cardone

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Gianluca Frasca-Caccia

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publication date

21 December 2022

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full work available at URL

https://arxiv.org/abs/2203.01966

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zbMATH Keywords

numerical solution of fractional PDEs

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time fractional diffusion

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conservation laws

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spectral method

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structure preservation

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describes a project that uses

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On a study of some classes of the fourth-order KdV-Klein/Gordon equation and its time fractional forms

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High-order finite difference schemes for the solution of second-order BVPs

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Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications

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Direct construction method for conservation laws of partial differential equations Part II: General treatment

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A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

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A new class of strong stability preserving general linear methods

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Line Integral Methods for Conservative Problems

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Numerical solution of time fractional diffusion systems

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Two-step collocation methods for fractional differential equations

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High order exponentially fitted methods for Volterra integral equations with periodic solution

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Numerical conservation laws of time fractional diffusion PDEs

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Exponentially fitted two-step peer methods for oscillatory problems

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Perturbative analysis of stochastic Hamiltonian problems under time discretizations

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Numerical preservation of multiple local conservation laws

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Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker-Planck equations for special stochastic process in foreign exchange markets

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Geometric Numerical Integration

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Anisotropic non-linear time-fractional diffusion equation with a source term: classification via Lie point symmetries, analytic solutions and numerical simulation

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G-symplectic second derivative general linear methods for Hamiltonian problems

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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Lie symmetry reductions and conservation laws for fractional order coupled KdV system

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Conservation laws of \((3+\alpha)\)-dimensional time-fractional diffusion equation

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Q5190149

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black-Scholes equation

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Q4315882

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Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws

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published in

Fractional Calculus \ Applied Analysis

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Identifiers

zbMATH Open document ID

1503.65165

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Mathematics Subject Classification ID

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10.1007/S13540-022-00059-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2110534