Numerical methods for some one-dimensional equations with fractional derivatives

DOI10.1134/S0012266106070056zbMath1126.65119OpenAlexW2058774302MaRDI QIDQ2461922

V. M. Goloviznin, I. A. Korotkin

Publication date: 21 November 2007

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266106070056

zbMATH Keywords

finite difference methodspline approximationFourier methoddiffusion equations with fractional derivatives

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Iterative identification of the diffusion coefficient in an initial boundary value problem for the subdiffusion equation ⋮ Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation ⋮ Difference schemes for partial differential equations of fractional order ⋮ Моделирование процессов промерзания одномерным уравнением теплопроводности с операторами дробного дифференцирования ⋮ Численный метод решения начально-граничной задачи для двумерного уравнения теплопроводности с производными дробного порядка ⋮ On the stability and convergence of difference schemes for the generalized fractional diffusion equation with Robin boundary value conditions ⋮ On the convergence of difference schemes for fractional differential equations with Robin boundary conditions

Cites Work

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• Random walks with infinite spatial and temporal moments
• Fractals and fractional calculus in continuum mechanics
• Random Walks on Lattices. II
• Fractional kinetic equations: solutions and applications

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