Difference between revisions of "Integral equation"
From Wiki @ Karl Jones dot com
Karl Jones (Talk | contribs) |
Karl Jones (Talk | contribs) |
||
| Line 8: | Line 8: | ||
* Fredholm theory | * Fredholm theory | ||
* Maxwell's equations | * Maxwell's equations | ||
| + | |||
| + | == Numerical solutions == | ||
| + | |||
| + | It is worth noting that integral equations often do not have an analytical solution, and must be [[Numerical analysis|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 == | == See also == | ||
Revision as of 19:59, 24 August 2016
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 differential equations and integral 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
- Integral equation @ Wikipedia
