Finite difference method for solving the space-time fractional wave equation in the Caputo form

DOI10.7153/FDC-05-05zbMath1412.35361OpenAlexW2511674977WikidataQ115157830 ScholiaQ115157830MaRDI QIDQ4626351

A. M. Nazari, Elham Afshari, B. Sepehrian

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-05-05

zbMATH Keywords

finite difference methodstability and convergenceCaputo fractional derivativefractional wave equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (2)

TWO-DIMENSIONAL FRACTIONAL EULER POLYNOMIALS METHOD FOR FRACTIONAL DIFFUSION-WAVE EQUATIONS ⋮ Unnamed Item

Cites Work

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• Implicit difference approximation for the time fractional diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical solution of the space fractional Fokker-Planck equation.
• Finite difference approximations for fractional advection-dispersion flow equations
• Space-time fractional derivative operators

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