\(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE
DOI10.1186/1687-2770-2014-76zbMath1308.65137OpenAlexW2123930585WikidataQ59322671 ScholiaQ59322671MaRDI QIDQ472253
Allaberen Ashyralyev, Zafer Cakir
Publication date: 19 November 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2014-76
stabilityGauss eliminationnumerical resultCrank-Nicolson difference schemefractional parabolic equation
Initial-boundary value problems for second-order parabolic equations (35K20) 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) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Two positive solutions for \((n - 1,1)\)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations
- Existence results for solutions of nonlinear fractional differential equations
- Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions
- Initial-boundary value problem for fractional partial differential equations of higher order
- Well-posedness of the Basset problem in spaces of smooth functions
- Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays
- On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination
- Numerical solution for multi-term fractional (arbitrary) orders differential equations
- A note on the fractional hyperbolic differential and difference equations
- Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition
- On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A note on fractional derivatives and fractional powers of operators
- On the regularity of abstract Cauchy problems and boundary value problems
- Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
- FDM for fractional parabolic equations with the Neumann condition
- Multi-order fractional differential equations and their numerical solution
- Maximal regular boundary value problems in Banach-valued weighted space
- Boundary-value problems with non-local condition for degenerate parabolic equations
- MULTIPLE POSITIVE SOLUTIONS FOR SEMIPOSITONE (n, p)-TYPE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
- A note on the fractional Schrödinger differential equations
This page was built for publication: \(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE