Boundary Value Problem

A boundary value problem is a problem, typically an ordinary differential equation or a partial differential equation, which has values assigned on the physical boundary of the domain in which the problem is specified. For example,

(1)

where  denotes the boundary of , is a boundary problem.

REFERENCES:

Eriksson, K.; Estep, D.; Hansbo, P.; and Johnson, C. Computational Differential Equations. Lund: Studentlitteratur, 1996.

Powers, D. L. Boundary Value Problems, 4th ed. San Diego, CA: Academic Press, 1999.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Two Point Boundary Value Problems" and "Boundary Values Problems." Ch. 17 and part of §19.0 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 753-787 and 829-833, 1992.