A FRACTIONAL ANALOG OF CRANK–NICHOLSON METHOD FOR THE TWO SIDED SPACE FRACTIONAL PARTIAL EQUATION WITH FUNCTIONAL DELAY

DOI10.15826/umj.2016.1.005zbMath1398.65217OpenAlexW2507385806MaRDI QIDQ4581426

Ahmed S. Hendy, Vladimir G. Pimenov

Publication date: 17 August 2018

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj14

zbMATH Keywords

interpolationextrapolationconvergence orderfractional partial differential equationfunctional delaygrid schemesGrunwald-Letnikov approximations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Cites Work

• Unnamed Item
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• Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity
• A computational matrix method for solving systems of high order fractional differential equations
• Convergence of two implicit numerical schemes for diffusion mathematical models with delay
• Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay
• Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
• Difference schemes for the numerical solution of the heat conduction equation with aftereffect
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Theory and applications of partial functional differential equations
• A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
• Numerical methods for solving a hereditary equation of hyperbolic type
• A second-order accurate numerical approximation for the fractional diffusion equation
• Numerical studies for fractional functional differential equations with delay based on BDF-type shifted Chebyshev approximations
• Finite difference approximations for two-sided space-fractional partial differential equations
• The method of lines for parabolic differential-functional equations
• On the Stability of Predictor-Corrector Methods for Parabolic Equations with Delay
• Finite Difference Approximations for a Class of Semilinear Volterra Evolution Problems
• General linear methods for the numerical solution of functional-differential equations

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