Reconstructing the historical distribution of diffusion equation with poly-fractional operator in multi-dimensional space

DOI10.3934/cpaa.2024047zbMath1546.65098MaRDI QIDQ6599734

Tran Thi Khieu, Tra Quoc Khanh

Publication date: 6 September 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

ill-posed problemfilter regularizationnonlocal diffusion equationpoly-fractional operator

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Processes with independent increments; Lévy processes (60G51) Sums of independent random variables; random walks (60G50) Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Diffusion processes (60J60) Numerical methods for discrete and fast Fourier transforms (65T50) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

This page was built for publication: Reconstructing the historical distribution of diffusion equation with poly-fractional operator in multi-dimensional space