Skip to main content

Illustration Difference between initial conditions and boundary conditions

Difference between initial conditions and boundary conditions
Difference between initial and boundary conditions
Download

Share โ€” copy and redistribute the material in any medium or format

Adapt โ€” remix, transform, and build upon the material for any purpose, even commercially.

Sharing and adapting of the illustration is allowed with indication of the link to the illustration.

Initial conditions and boundary conditions sketched for a searched function \(y(t)\):
  • Initial conditions - for the function value of the searched function \( y(0) = 1 \) and the derivative of this function \( y'(0) = 1 \) at time \(t = 0\). The initial conditions are constraints at a single point, here \(t = 0 \). Usually the point is at the beginning, hence INITIAL conditions.
  • Boundary conditions - for the function value of the searched function \( y(0) = 1 \) at time \(t = 0\) and for the function value of the searched function \( y(6) = 1 \) at another time \( t = 6 \). The boundary conditions are constraints at different points, here at \(t = 0 \) and at \(t = 6\). Usually these points are at the boundaries, hence BOUNDARY conditions.