\(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE (Q472253)

scientific article; zbMATH DE number 6370888

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English	\(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE	scientific article; zbMATH DE number 6370888

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instance of

scholarly article

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title

\(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE (English)

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Boundary Value Problems

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publication date

19 November 2014

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zbMATH Keywords

fractional parabolic equation

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Crank-Nicolson difference scheme

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stability

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Gauss elimination

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numerical result

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/1687-2770-2014-76

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cites work

The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Multi-order fractional differential equations and their numerical solution

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Numerical solution for multi-term fractional (arbitrary) orders differential equations

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Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays

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Existence results for solutions of nonlinear fractional differential equations

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Two positive solutions for \((n - 1,1)\)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations

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On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination

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MULTIPLE POSITIVE SOLUTIONS FOR SEMIPOSITONE (n, p)-TYPE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

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Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations

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A note on fractional derivatives and fractional powers of operators

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A note on the fractional hyperbolic differential and difference equations

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On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator

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Initial-boundary value problem for fractional partial differential equations of higher order

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

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On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition

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FDM for fractional parabolic equations with the Neumann condition

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A note on the fractional Schrödinger differential equations

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Well-posedness of the Basset problem in spaces of smooth functions

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On the regularity of abstract Cauchy problems and boundary value problems

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Maximal regular boundary value problems in Banach-valued weighted space

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Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob

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Boundary-value problems with non-local condition for degenerate parabolic equations

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The space of initial data for the second boundary-value problem for parabolic differential-difference equation

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Identifiers

zbMATH Open document ID

1308.65137

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DOI

10.1186/1687-2770-2014-76

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:472253