Numerical solution of gas solution in a fluid: fractional derivative model

DOI10.22052/ijmc.2017.54560.1203zbMath1408.35147OpenAlexW2755672621MaRDI QIDQ4617726

Shahrokh Esmaeili

Publication date: 7 February 2019

Full work available at URL: https://ijmc.kashanu.ac.ir/article_50034_b2a8baae1f6d0082a396ac6810ca2c66.pdf

zbMATH Keywords

collocation methodfractional derivativesGaussian quadratureMüntz polynomialsgas solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Gas dynamics (general theory) (76N15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)

Related Items (1)

A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations

Uses Software

• OrthogonalPolynomials
• DLMF
• OPQ

Cites Work

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• An operational method for solving fractional differential equations with the Caputo derivatives
• The Müntz-Legendre tau method for fractional differential equations
• Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives
• Muntz Systems and Orthogonal Muntz-Legendre Polynomials
• Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas
• On the generalized mass transfer with a chemical reaction: Fractional derivative model
• Calculation of Gauss Quadrature Rules
• Fractional Calculus

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