Initial Value Problem
An initial value problem is a problem that has its conditions specified at some time t=t_0. Usually, the problem is an ordinary differential equation or a partial differential equation. For example,
where partialOmega denotes the boundary of Omega, is an initial value problem.
See also
Boundary Conditions, Boundary Value Problem, Initial Conditions, Partial Differential EquationExplore with Wolfram|Alpha
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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 ProblemCite this as:
Weisstein, Eric W. "Initial Value Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/InitialValueProblem.html