Galerkin spectral method for the fractional nonlocal thermistor problem

DOI10.1016/j.camwa.2016.05.033zbMath1412.65167arXiv1605.07804OpenAlexW2406777997WikidataQ57650428 ScholiaQ57650428MaRDI QIDQ666775

Moulay Rchid Sidi Ammi, Delfim F. M. Torres

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07804

zbMATH Keywords

stabilityfinite difference methoderror analysisfractional differential equationsGalerkin spectral method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

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Cites Work

• A review of operational matrices and spectral techniques for fractional calculus
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• A space-time spectral method for the time fractional diffusion optimal control problems
• Modified fractional Cauchy problem in a complex domain
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• Finite difference/spectral approximations for the time-fractional diffusion equation
• Existence and uniqueness of a positive solution to generalized nonlocal thermistor problems with fractional-order derivatives
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• Basic Theory of Fractional Differential Equations
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