calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown...
8 KB (1,375 words) - 04:04, 8 May 2024
boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution...
9 KB (1,037 words) - 12:04, 30 June 2024
Cauchy boundary condition (redirect from Cauchy initial value problem)
or initial point. Since the parameter s {\displaystyle s} is usually time, Cauchy conditions can also be called initial value conditions or initial value...
4 KB (627 words) - 11:10, 21 August 2024
variables as a function of time and of the initial conditions is called the initial value problem. A corresponding problem exists for discrete time situations...
9 KB (1,362 words) - 17:34, 23 August 2023
Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence theorem...
18 KB (3,044 words) - 19:03, 10 July 2024
cosmologists to question how the initial density came to be so closely fine-tuned to this 'special' value. The problem was first mentioned by Robert Dicke...
32 KB (4,222 words) - 12:32, 23 August 2024
Heat equation (section Three-dimensional problem)
given function of x and t. Initial value problem on (−∞,∞) { u t = k u x x ( x , t ) ∈ R × ( 0 , ∞ ) u ( x , 0 ) = g ( x ) Initial condition {\displaystyle...
58 KB (9,836 words) - 20:31, 23 August 2024
on a hypersurface in the domain. A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition)...
4 KB (641 words) - 16:53, 16 June 2024
Shooting method (category Boundary value problems)
boundary value problem by reducing it to an initial value problem. It involves finding solutions to the initial value problem for different initial conditions...
10 KB (1,637 words) - 06:50, 8 August 2023
gauge of electromagnetism. One method to solve the initial-value problem (with the initial values as posed above) is to take advantage of a special property...
63 KB (11,174 words) - 14:45, 3 September 2024