integral equation
integral equation Any equation for an unknown function f(x), a←x←b, involving integrals of the function. An equation of the form
is a Volterra equation of the second kind. The analogous equation with constant limits
is a Fredholm equation of the second kind. If the required function only appears under the integral sign it is a Volterra or Fredholm equation of the first kind; these are more difficult to treat both theoretically and numerically. The Volterra equation can be regarded as a particular case of the Fredholm equation where K(x,y) = 0 for y > x
Fredholm equations of the second kind occur commonly in boundaryvalue problems in mathematical physics. Numerical techniques proceed by replacing the integral with a rule for numerical integration, leading to a set of linear algebraic equations determining approximations to f(x) at a set of points in a←x←b.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"integral equation." A Dictionary of Computing. . Encyclopedia.com. 23 Oct. 2018 <https://www.encyclopedia.com>.
"integral equation." A Dictionary of Computing. . Encyclopedia.com. (October 23, 2018). https://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/integralequation
"integral equation." A Dictionary of Computing. . Retrieved October 23, 2018 from Encyclopedia.com: https://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/integralequation
Citation styles
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the mostrecent information available at these sites:
Modern Language Association
The Chicago Manual of Style
http://www.chicagomanualofstyle.org/tools_citationguide.html
American Psychological Association
Notes:
 Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
 In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.