Collocation scheme for the identification of coefficients in nonlinear parabolic equations Conference Paper

abstract

• The identifiability of functions describing nonlinear radiation and source terms in the one-dimensional heat equation is considered. It is shown that a monotone sequence of temperature measurements on one boundary is sufficient to determine a unique piecewise linear function which yields the desired temperature response. As a consequence, it is shown that the temperature can be controlled by this piecewise linear function. Numerical results are presented.

authors

• Pilant, Michael
• Rundell, William

published proceedings

• Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

• Pilant, M., & Rundell, W.

complete list of authors

• Pilant, M||Rundell, W

publication date

• December 1989

published in

• IEEE Conference on Decision and Control  Journal

start page

• 1462

end page

• 1463

volume

• 2