Turn on thread page Beta
    • Thread Starter

    What is the difference between boundary conditions and initial conditions?

    Existence and uniqueness of solutions for initial value problems depends only on the equation. For boundary value value problems, it depends on the equation and the boundary condition.

    Reference https://www.physicsforums.com/thread...ditions.63418/

    (Original post by Fenugreek)
    What is the difference between boundary conditions and initial conditions?
    Wikipedia answers this quite well. "A boundary value problem has conditions specified at the extremes ("boundaries" of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value)."

    Where one should note that "independent variable" is usually taken to be multi-dimensional for PDEs.
Submit reply
Turn on thread page Beta
Updated: April 16, 2016
“Yanny” or “Laurel”
Useful resources

Make your revision easier


Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here


How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.