TY - JOUR
ID - 16774
TI - Determination of unknown source term and boundary flux in a time-fractional inverse diffusion problem
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Toubaei, Sedigheh
AU - Garshsbi, M.
AU - Reihani Ardabili, Parastoo
AD - 1 Department of Mathematics, Khuzestan Science and Research Branch, Islamic Azad University, Ahvaz, Iran,
2 Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.
AD - School of Mathematics, Iran University of Science and Technology, Tehran, Iran
AD - Department of Mathematics, Payame Noor University, Tehran, Iran
Y1 - 2021
PY - 2021
VL - 11
IS - 2
SP - 271
EP - 287
KW - Time fractional
KW - Inverse problem
KW - mollication
KW - marching method
DO - 10.22055/jamm.2021.35292.1862
N2 - In this work, we consider an inverse fractional parabolic problem that has many applications in different fields. Simultaneously determination of a source term and a boundary flux function in a time-fractional order parabolic equation is investigated using a mollified space marching method. Superposition and Duhamel's principles, the uniqueness of solution with respect to an over determination condition is proved. The stability and convergence of the numerical method are proved and two numerical test problems are conducted to illustrate the ability and accuracy of the numerical method.
UR - https://jamm.scu.ac.ir/article_16774.html
L1 - https://jamm.scu.ac.ir/article_16774_8868049e5efe08584902ac865bd845d7.pdf
ER -