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 -