ON A CONTINUOUS METHOD OF APPROXIMATING SOLUTIONS OF THE HEAT EQUATION.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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Theoretical methods, based on a priori pointwise bounds, for approximating solutions of many elliptic and parabolic initial andor boundary value problems have been developed in recent years. These methods, however, are relatively unknown to potential users since applications of the methods have not appeared in the literature. In this article their usefulness is illustrated by employing some of the authors theoretical results as a basis for the construction of a digital program to compute an approximate solution of an initial-boundary value problem for the heat equation. Author
- Numerical Mathematics