Second-Order Correct Boundary Conditions for the Numerical Solution of the Mixed Boundary Problem for Parabolic Equations

Received June 21, 1962. This research was supported by the Air Force Office of Scientific Research. In May, 1961 the author submitted a thesis containing the principle part of this paper to the Rice University in partial fulfillment of the requirements for a degree of Master of Arts. * ,p(x, t) E Ca'd(R) if and only if sp is continuously differentiable a times with respect to x and a times with respect to t in the region R. 405