Determination of an Unknown Heat Source from 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.
SourceIranian Journal of Science and Technology, Transactions A: Science
KeywordsQuasilinear parabolic equation
Periodic boundary condition
Finite difference method
Integral overdetermination condition