Finite difference and iteration methods for fractional hyperbolic partial differential equations with the Neumann condition

DOI10.1155/2012/434976zbMath1248.65086OpenAlexW2022685101WikidataQ58700559 ScholiaQ58700559MaRDI QIDQ714255

Allaberen Ashyralyev, Fadime Dal

Publication date: 19 October 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/434976

zbMATH Keywords

mixed problemNeumann conditionmultidimensional fractional hyperbolic partial differential equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hyperbolic equations and hyperbolic systems (35L99) Fractional partial differential equations (35R11)

Related Items (10)

Numerical solution and distinguishability in time fractional parabolic equation ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Two numerical methods for fractional partial differential equation with nonlocal boundary value problem ⋮ A discrete method based on the CE-SE formulation for the fractional advection-dispersion equation ⋮ On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator ⋮ Inverse problem for a time-fractional parabolic equation ⋮ Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions ⋮ Solving the Caputo fractional reaction-diffusion equation on GPU ⋮ Unnamed Item ⋮ An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation

Uses Software

• HE-E1GODF

Cites Work

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