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.
See also
Boundary Conditions,
Initial Value Problem Explore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Boundary Value Problem Cite this as:
Weisstein, Eric W. "Boundary Value Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BoundaryValueProblem.html
Subject classifications
