An approach to time fractional gas dynamics equation: quadratic B-spline Galerkin method

DOI10.1016/j.amc.2015.03.126zbMath1410.76169OpenAlexW2046918482MaRDI QIDQ1643309

Orkun Tasbozan, Alaattin Esen

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.126

zbMATH Keywords

finite element methodGalerkinquadratic B-splinetime fractional gas dynamics equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Statistical mechanics of gases (82D05) Fractional partial differential equations (35R11)

Related Items (1)

On boundary value problems for impulsive fractional differential equations

Cites Work

• Approximate analytical solutions of fractional gas dynamic equations
• Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions.
• Solution for a fractional diffusion-wave equation defined in a bounded domain
• Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
• Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation
• Numerical solution of fractional telegraph equation by using radial basis functions
• The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
• A GALERKIN FINITE ELEMENT METHOD TO SOLVE FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS
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