Boundary Value Problem

A Boundary Value Problem (BVP) is a type of mathematical problem where you need to find a function that satisfies a specific differential equation within a certain region, along with conditions specified at the edges or boundaries of that region. Think of it like finding a smooth path or shape that not only follows a rule inside an area but also matches certain requirements at the borders, such as starting and ending points. BVPs are essential in physics and engineering for modeling real-world situations like heat distribution, wave motion, or structural analysis.