A priori strategy for pseudo-parabolic equations by hybrid regularization method

Ngo Ngoc Hung; Dinh Long Le

doi:10.61383/ejam.202533103

Authors

Ngo Ngoc Hung Email ORCID Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
Le Dinh Long Email ORCID Faculty of Information Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

DOI:

https://doi.org/10.61383/ejam.202533103

Keywords:

time-fractional diffusion equation, inverse source term, initial value problem, hybrid regularization method, priori estimation

Abstract

In this study, we address the simultaneous recovery of the source term and the initial value in a time-fractional diffusion equation, a problem inherently characterized by its ill-posed nature. To overcome this challenge, we propose a hybrid regularization method, offering robust solutions and providing precise estimations for both the source term and the initial value.

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