Boundary-value problem

{
  "id": "MLC-T-MET-004001",
  "term": "Boundary-value problem",
  "field": "Meteorology and atmospheric science",
  "definition": "A mathematical problem involving a differential equation where the solution is sought within a domain, subject to specified conditions on the boundary of that domain. In atmospheric science, these problems often arise in numerical weather prediction and climate modeling, where atmospheric variables like temperature or wind are constrained by conditions at the Earth's surface or the top of the atmosphere. The solution must satisfy both the governing equations and the prescribed boundary conditions.",
  "see_also": [
    "initial-value problem"
  ],
  "url": "https://mlchart.com/terminology/meteorology/boundary-value-problem/"
}