Integral equation

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In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign.

Description

There is a close connection between integral equations and differential equations, and some problems may be formulated either way. See, for example:

  • Green's function
  • Fredholm theory
  • Maxwell's equations

Numerical solutions

It is worth noting that integral equations often do not have an analytical solution, and must be solved numerically.

An example of this is evaluating the Electric-Field Integral Equation (EFIE) or Magnetic-Field Integral Equation (MFIE) over an arbitrarily shaped object in an electromagnetic scattering problem.

See also

External links