boundary condition

The term "boundary condition" is crucial in mathematical modeling and physics to ensure the solutions of equations are applicable and meaningful within a given domain.

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Definition

C1Mathematics

(technical, academic)A constraint that must be met at the edges of a region where a differential equation is being solved.

Example

  • The boundary condition for this differential equation requires the function to be zero at the endpoints.

C1Physics

(technical, academic)A requirement that defines the behavior of a physical system at the limits of its domain.

Example

  • In quantum mechanics, the boundary condition ensures the wave function and its derivative are continuous, except in cases of infinite potential.

Similar

Terms that have similar or relatively close meanings to "boundary condition":

boundary termboundary cornerupper boundarylower boundaryon conditioncorner casestandard conditions