Wavelet regularization strategy for the fractional inverse diffusion problem

DOI10.1007/s11075-020-01025-1zbMath1486.65152OpenAlexW3101710643MaRDI QIDQ2041527

Fatemeh Zallani, Khosro Sayevand, Milad Karimi

Publication date: 23 July 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-01025-1

zbMATH Keywords

multiresolution analysisill-posed problemfractional diffusion equationMeyer wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Ill-posedness and regularization problems in numerical linear algebra (65F22) Fractional derivatives and integrals (26A33) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Rate of convergence, degree of approximation (41A25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

Related Items (3)

Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions ⋮ An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations

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