What does boundary condition mean?
Definitions for boundary condition
bound·a·ry con·di·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word boundary condition.
Princeton's WordNet
boundary conditionnoun
(mathematics) a condition specified for the solution to a set of differential equations
Wikipedia
boundary condition
In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions. Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. A large class of important boundary value problems are the Sturm–Liouville problems. The analysis of these problems involves the eigenfunctions of a differential operator. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Among the earliest boundary value problems to be studied is the Dirichlet problem, of finding the harmonic functions (solutions to Laplace's equation); the solution was given by the Dirichlet's principle.
ChatGPT
boundary condition
Boundary condition is a constraint or condition that a function or system must satisfy at the boundary or limit of its domain. It is used in mathematics, physics, and engineering to provide specific values, behaviors or limitations to solutions at the edges or boundaries of a problem's region or scope.
Numerology
Chaldean Numerology
The numerical value of boundary condition in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of boundary condition in Pythagorean Numerology is: 5
Translations for boundary condition
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"boundary condition." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/boundary+condition>.
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