An integro-differential parabolic problem with an integral boundary condition
In this work, we consider an integro-differential parabolic equation with an integral boundary condition. We apply the method of semidiscretization in time, also known as the method of lines for proving the existence, uniqueness and continuous dependence on the data. We given an example to demonstrate the applicability of the results obtained. (C) 2009 Elsevier Ltd. All rights reserved.
method of lines integro-differential equation weak solution