Numerical solution of the high thermal loss problem presented by a fractional differential equation

DOI10.1016/J.CNSNS.2010.06.031zbMath1221.65330OpenAlexW2057894341WikidataQ115358735 ScholiaQ115358735MaRDI QIDQ718445

D. Kharzeev

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.06.031

zbMATH Keywords

singular perturbationVolterra integral equationfractional differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33)

Related Items (6)

Failure of classical traffic flow theories: stochastic highway capacity and automatic driving ⋮ A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability ⋮ Numerical solution of fractional partial differential equations by numerical Laplace inversion technique ⋮ Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: a brief review ⋮ Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind ⋮ Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

Uses Software

• RODAS

Cites Work

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• Stability analysis of product \(\theta\)-methods for Abel integral equations of the second kind
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Numerical solutions of integral and integro-differential equations using Legendre polynomials
• Solving Ordinary Differential Equations I
• Singular Perturbation Analysis of Integral Equations
• Singularly Perturbed Integral Equations with Endpoint Boundary Layers
• Generalized compound quadrature formulae for finite-part integrals
• Singularly Perturbed Volterra Integral Equations

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