integral equation


Also found in: Dictionary, Wikipedia.
Related to integral equation: Fredholm integral equation

integral equation

[′int·ə·grəl i′kwā·zhən]
(mathematics)
An equation where the unknown function occurs under an integral sign.
References in periodicals archive ?
Kojok, Toeplitz matrix method for solving the nonlinear integral equation of Hammerstein type, J.
Integrating three times the relation (8) from 0 to [eta], [tau], [sigma] and taking into account the boundary conditions in (6) we reduce (8) to the nonlinear integral equation
Key words: numerical analysis, integral equation method, finite differential method
Furthermore, we note that, by extending the method of this paper, one can establish results similar to those of given in Theorems 1-6, related to the solutions of Volterra type integral equations of the form
The radiance of light incident at a point (x, y, z) can be related to the outgoing radiance at the same point so that the integral equation can be written as an equation for a single unknown radiance function L (4).
For a point [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] on the mid-surface, [Gamma], the boundary integral equations can be stated as
Both functions [mu] and h can be determined by solving an integral equation with the generalized Neumann kernel as described in the following theorem from [31, 32, 35].
Atkinson, The numerical solution of Fredholm integral equations of the second kind, SIAM J.
We transform the Problem M to a singular integral equation.
As a result, the solution of the integral equation (4) has the form:
e] + t) is governed by the Volterra integral equation