Numerical solution of a class of time-fractional order diffusion equations in a new reproducing kernel space
DOI10.1155/2020/1794975zbMath1437.65156OpenAlexW3016082008MaRDI QIDQ2179419
Haolu Zhang, Xiaoli Zhang, Lina Jia, Wei Zhang, Yu-Lan Wang
Publication date: 12 May 2020
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/1794975
orthogonal Jacobian polynomialsreproducing kernel space methodtime-fractional order diffusion equations
Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Orthogonalization in numerical linear algebra (65F25) Fractional partial differential equations (35R11)
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