Talk:Integral equation

A simple and elegant new approach for solving linear and non-linear integral equations can be found at http://www.integralresearch.net/wps.pdf . The new approach provides a unified, fully localized, and efficient solution in closed-form. It is naturally suited for fine-grained parallel computations. See http://www.integralresearch.net for more details.

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Integral equation is very important equation and very difficlut to discuss.

Vote for new external link

Here is my site with integral equation example problems. Someone please put this link in the external links section if you think it's helpful and relevant. Tbsmith

http://www.exampleproblems.com/wiki/index.php/Integral_Equations

How about some information on Non-Linear Integral Equations?

This article discusses linear integral equations; perhaps someone knowledgeable enough can add something about non-linear integral equations?

Wiki Education assignment: WRIT 015-13, Writing for Others

This article was the subject of a Wiki Education Foundation-supported course assignment, between 24 August 2022 and 14 December 2022. Further details are available on the course page. Student editor(s): Rosenkranz421 (article contribs).

— Assignment last updated by Fuiszl (talk) 13:43, 21 November 2022 (UTC)

Editing the Article

I plan on editting the article in the next weeks. I will try to restructure the article in a way such that the overview and classification can be combined and is more comprehensive by adding some more comments on linearity vs nonlinearity and singular vs regular integral equations. I will also try to add some more examples of integral equation and give examples of a view using operator notation. I will also add a few more references and sources in the bibliography, relying particularily on the text by the author Wazwaz. Rosenkranz421 (talk) 13:59, 21 November 2022 (UTC)

I find it almost impossible to believe

I think it is unlikely that who ever wrote this had the intention to inform the public. First of all why in the world is "I" used when the world-wide convention is "∫"? Secondly, the equation f(x_i; u(x_i);∫u_j) = 0 (i= 1,...,n), j=(1,...,m)) is awful. It is NOT the general equation and yet is so abstract as to be useless to anyone who doesn't understand the form. But those who understand that form almost certainly don't need this example. The ONLY thing it has going for it, imho, is that it is concise. It's opaque jargon, but it's concise. Thirdly, why in the world are differential equations mentioned in the lede? What is the purpose of spending 9 of the 12 lines (in my browser) discussing them and their relationship to integral equations? Fourth, the lede correctly states that "one can often convert between the two". What it doesn't state is that this is not always the case! Perhaps the editor realized if that was mentioned wasting so much ink discussing their "connection" IN THE LEDE would look lame even to the general public. Fifth, there is exactly zero mention in the lede where and why integral equations are useful/used. Sixth, what do they produce? A number? An equation? Both?? Seventh, the lede should have an explicit, concrete example (and not some rubbish like u = K + L which tells us nothing. Eighth, there's way, way too much relying on operator notations which are (obviously) unfamiliar to the public. (see 7th, above), Wolfram has a much better start and gives an (overly complicated) example near the start. It still doesn't answer the what, when, why, how, who, and where, but it's better than this article, imho.~2026-39947-37 (talk) 12:51, 20 July 2026 (UTC)