What does initial condition mean in physics?
A boundary condition expresses the behavior of a function on the boundary (border) of its area of definition. An initial condition is like a boundary condition, but then for the time-direction. Not all boundary conditions allow for solutions, but usually the physics suggests what makes sense.
What do you understand from the initial condition in a system?
In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).
What is difference between initial condition and boundary condition?
What are the initial boundary conditions?
A boundary condition expresses the behavior of a function on the boundary (border) of its area of definition. An initial condition is like a boundary condition, but then for the time-direction. As before the maximal order of the derivative in the boundary condition is one order lower than the order of the PDE.
How many initial conditions are needed?
For solving one dimensional second order linear partial differential equation, we require one initial and two boundary conditions.
How many initial conditions are needed for a PDE?
What is initial and boundary value problems?
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” …
How many initial and boundary conditions are there?
What is an initial condition in differential equations?
An initial condition is an extra bit of information about a differential equation that tells you the value of the function at a particular point. Differential equations with initial conditions are commonly called initial value problems.