An initial value problem is a problem that has its conditions specified at some time 
.
Usually, the problem is an ordinary
differential equation or a partial
differential equation. For example,
 |
(1)
|
where 
denotes the boundary of 
, is an initial value problem.
See also
Boundary Conditions,
Boundary Value Problem,
Initial Conditions,
Partial
Differential Equation
Explore with Wolfram|Alpha
References
Eriksson, K.; Estep, D.; Hansbo, P.; and Johnson, C. Computational
Differential Equations. Lund, Sweden: Studentlitteratur, 1996.Press,
W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T.
"Initial Value Problems." Numerical
Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England:
Cambridge University Press, p. 829, 1992.Referenced on Wolfram|Alpha
Initial Value Problem
Cite this as:
Weisstein, Eric W. "Initial Value Problem."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InitialValueProblem.html
Subject classifications
