Optimization method for determining the source term in fractional diffusion equation

DOI10.1016/j.matcom.2018.03.003OpenAlexW2792478298WikidataQ130096395 ScholiaQ130096395MaRDI QIDQ1997294

P. Prakash, Yong-Ki Ma, A. Deiveegan

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.03.003

zbMATH Keywords

optimal controlinverse problemregularizationsource termfractional diffusion equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) Parabolic equations and parabolic systems (35Kxx)

Related Items (5)

An optimal control approach for determining the source term in fractional diffusion equation by different cost functionals ⋮ An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation ⋮ Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation ⋮ An artificial neural network approach to identify the parameter in a nonlinear subdiffusion model ⋮ Novel hybrid robust fractional interpolatory cubature Kalman filters

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• Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
• Approximate controllability for fractional diffusion equations by interior control
• An inverse problem of identifying the source coefficient in a degenerate heat equation
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation

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