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
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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 Web Resource. https://mathworld.wolfram.com/BoundaryValueProblem.html
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