Two numerical methods for fractional partial differential equation with nonlocal boundary value problem

DOI10.1186/s13662-018-1789-2zbMath1448.65114OpenAlexW2889963239WikidataQ115241416 ScholiaQ115241416MaRDI QIDQ1715591

Mahmut Modanlı

Publication date: 28 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1789-2

zbMATH Keywords

implicit finite difference schemenonlocal boundary value problemstability estimatesDufort-Frankel finite difference schemesfractional telegraph partial differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) 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 (4)

Numerical solution of two-dimensional time fractional mobile/immobile equation using explicit group methods ⋮ Nonlocal boundary-value problem for an equation with differentiation operator \(z \partial/\partial z\) in a refined Sobolev scale ⋮ New exact solutions for generalized \((3+1)\) shallow water-like (SWL) equation ⋮ Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative

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