Determination of an Unknown Heat Source from Integral Overdetermination Condition

作者：Baglan Irem; Kanca Fatma; Mishra Vishnu Narayan^*

来源：Iranian Journal of Science and Technology Transaction A-Science, 2018, 42(A3): 1373-1382.

DOI：10.1007/s40995-017-0454-z

• Quasilinear parabolic equation
• Inverse problem
• Periodic boundary condition
• Finite difference method
• Integral overdetermination condition

In this research, we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions. We prove the existence, uniqueness and continuously dependence upon the data of the solution by iteration method. Also, we consider numerical solution for this inverse problem using linearization and finite difference method is proved.

• 出版日期2018-9