Numerical approach to the time-fractional reaction-diffusion equation | Zendy

Yuyang Qiu | Zendy

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Numerical approach to the time-fractional reaction-diffusion equation

Author(s) -

Yuyang Qiu

Publication year - 2019

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci1904245q

Subject(s) - reaction–diffusion system , toeplitz matrix , mathematics , diffusion , numerical analysis , diffusion equation , mathematical analysis , boundary (topology) , coefficient matrix , fractional calculus , boundary value problem , physics , thermodynamics , pure mathematics , eigenvalues and eigenvectors , economy , quantum mechanics , economics , service (business)

The numerical solution to the time-fractional reaction-diffusion equation with boundary conditions is considered in this paper. By difference, the problem is transformed to solve a linear system whose coefficient matrices are Toeplitz-like, and the solution can be constructed directly. Numerical results are reported to show the feasibility of the proposed method.

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