a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a...

elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example...

calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function...

satisfy on the boundary; ideally so as to ensure that a unique solution exists. A Cauchy boundary condition specifies both the function value and normal derivative...

In mathematics, a free boundary problem (FB problem) is a partial differential equation to be solved for both an unknown function u {\displaystyle u} and...

the domain. A Cauchy problem can be an initial value problem or a boundary value problem (for this case see also Cauchy boundary condition). It is named...

for solving a boundary value problem by reducing it to an initial value problem. It involves finding solutions to the initial value problem for different...

In mathematics, some boundary value problems can be solved using the methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani's...

equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler...

together with some boundary conditions at extreme values of x {\displaystyle x} . The goals of a given Sturm–Liouville problem are: To find the λ for...