TY - JOUR A2 - Biles, Daniel C. AU - Kanca, Fatma PY - 2013 DA - 2013/09/24 TI - Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions SP - 659804 VL - 2013 AB - This paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data, the existence, uniqueness, and continuous dependence on the data of the solution are shown by using the generalized Fourier method. The accuracy and computational efficiency of the proposed method areverified with the help of the numerical examples. SN - 1085-3375 UR - https://doi.org/10.1155/2013/659804 DO - 10.1155/2013/659804 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -