Initial-value problem

{
  "id": "MLC-T-MET-006555",
  "term": "Initial-value problem",
  "field": "Meteorology and atmospheric science",
  "definition": "A mathematical problem where the solution of a differential equation is sought given the state of the system at a particular initial time. In atmospheric science, this involves predicting the future state of the atmosphere based on its current observed conditions. Numerical weather prediction models are formulated as initial-value problems, requiring accurate observations to start their forecasts.",
  "see_also": [
    "transient problem",
    "boundary-value problem"
  ],
  "url": "https://mlchart.com/terminology/meteorology/initial-value-problem/"
}