Boundary Value Problem
المؤلف:
Eriksson, K.; Estep, D.; Hansbo, P.; and Johnson, C
المصدر:
Computational Differential Equations. Lund: Studentlitteratur, 1996. Powers, D. L. Boundary Value Problems, 4th ed. San Diego, CA: Academic Press, 1999.
الجزء والصفحة:
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11-6-2018
1656
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,
![<span style=]() {(partial^2u)/(partialt^2)-del ^2u=f in Omega; u(0,t)=u_1 on partialOmega; (partialu)/(partialt)(0,t)=u_2 on partialOmega, " src="http://mathworld.wolfram.com/images/equations/BoundaryValueProblem/NumberedEquation1.gif" style="height:108px; width:155px" /> |
(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.
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