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,

where denotes the boundary of , is an initial value problem.

**References**

Eriksson, K.; Estep, D.; Hansbo, P.; and Johnson, C. *Computational Differential Equations.*
Lund, Sweden: Studentlitteratur, 1996.

© 1996-9

1999-05-26