Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type
DOI10.1007/s11075-021-01171-0zbMath1486.65153OpenAlexW3185310847MaRDI QIDQ2118961
Tran Thi Khieu, Tra Quoc Khanh
Publication date: 23 March 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01171-0
Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for discrete and fast Fourier transforms (65T50) Nonlinear ill-posed problems (47J06) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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