Numerical scheme with convergence for a generalized time‐fractional Telegraph‐type equation

DOI10.1002/NUM.22344zbMath1418.65102OpenAlexW2909283560WikidataQ115397898 ScholiaQ115397898MaRDI QIDQ5227303

Kamlesh Kumar, Rajesh K. Pandey, Shiva Sharma, Yufeng Xu

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22344

zbMATH Keywords

finite difference schemeCaputo derivativegeneralized fractional telegraph equationsgeneralized time fractional derivative

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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)

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A fully finite difference scheme for time-fractional telegraph equation involving Atangana Baleanu Caputo fractional derivative ⋮ A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models ⋮ Numerical schemes with convergence for generalized fractional integro-differential equations ⋮ Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

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