initial-value problem

[i′nish·əl ¦val·yü ‚präb·ləm] (fluid mechanics) A dynamical problem whose solution determines the state of a system at all times subsequent to a given time at which the state of the system is specified by given initial conditions; the initial-value problem is contrasted with the steady-state problem, in which the state of the system remains unchanged in time. Also known as transient problem. (mathematics) An n th-order ordinary or partial differential equation in which the solution and its first (n- 1) derivatives are required to take on specified values at a particular value of a given independent variable.

单词	initial-value problem
释义	initial-value problem initial-value problem [i′nish·əl ¦val·yü ‚präb·ləm] (fluid mechanics) A dynamical problem whose solution determines the state of a system at all times subsequent to a given time at which the state of the system is specified by given initial conditions; the initial-value problem is contrasted with the steady-state problem, in which the state of the system remains unchanged in time. Also known as transient problem. (mathematics) An n th-order ordinary or partial differential equation in which the solution and its first (n- 1) derivatives are required to take on specified values at a particular value of a given independent variable.
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