Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions

DOI10.1155/2012/463746zbMath1246.65200OpenAlexW2111969715WikidataQ58695241 ScholiaQ58695241MaRDI QIDQ448704

Zafer Cakir

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/463746

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Parabolic equations and parabolic systems (35K99) Fractional partial differential equations (35R11)

Related Items

FDM for fractional parabolic equations with the Neumann condition ⋮ \(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE ⋮ Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem ⋮ Two computational algorithms for the numerical solution for system of fractional differential equations ⋮ Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

Cites Work

• Unnamed Item
• Well-posedness of the Basset problem in spaces of smooth functions
• A note on the fractional hyperbolic differential and difference equations
• On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition
• Application of variational iteration method to fractional hyperbolic partial differential equations
• A note on fractional derivatives and fractional powers of operators
• On the numerical solution of fractional hyperbolic partial differential equations
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Fractals and fractional calculus in continuum mechanics
• Convolution quadrature time discretization of fractional diffusion-wave equations
• FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE
• Fractional Derivatives and Special Functions
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Inversion theorems for poterntial-type integral transforms in a and ons^n-1