Editing Integral equation (section)

== Applications ==
Integral equations are important in many applications. Problems in which integral equations are encountered include [[radiative transfer]], and the [[oscillation]] of a string, membrane, or axle. Oscillation problems may also be solved as [[differential equations]].
*[[Actuarial science]] ([[ruin theory]]<ref>{{Cite web|url=https://www.kent.ac.uk/smsas/personal/lb209/files/risk-notes-10.pdf|title=Lecture Notes on Risk Theory|date=2010}}</ref>)
*[[Computational electromagnetics]]
**[[Boundary element method]]
*[[Inverse problem]]s
**[[Marchenko equation]] ([[inverse scattering transform]])
* Options pricing under [[Jump diffusion|jump-diffusion]]<ref>{{Cite journal|last1=Sachs|first1=E. W.|last2=Strauss|first2=A. K.|date=2008-11-01|title=Efficient solution of a partial integro-differential equation in finance|journal=Applied Numerical Mathematics|volume=58|issue=11|pages=1687–1703|doi=10.1016/j.apnum.2007.11.002|issn=0168-9274}}</ref>
*[[Radiative transfer]]
*[[Renewal theory]]<ref>{{Cite journal |last=Feller |first=Willy |date=1941 |title=On the Integral Equation of Renewal Theory |url=https://www.jstor.org/stable/2235855 |journal=The Annals of Mathematical Statistics |volume=12 |issue=3 |pages=243–267 |doi=10.1214/aoms/1177731708 |jstor=2235855 |issn=0003-4851}}</ref>
*[[Viscoelasticity]]
*[[Fluid mechanics]]<ref>{{cite journal|last1=Daddi-Moussa-Ider|first1=A.|last2=Vilfan|first2=A.|author3-link=Ramin Golestanian|last3=Golestanian|first3=R.|title=Diffusiophoretic propulsion of an isotropic active colloidal particle near a finite-sized disk embedded in a planar fluid–fluid interface|journal=Journal of Fluid Mechanics|date=6 April 2022|volume=940|pages=A12|doi=10.1017/jfm.2022.232|arxiv=2109.14437|bibcode=2022JFM...940A..12D }}</ref><ref>{{cite journal|last1=Daddi-Moussa-Ider|first1=A.|last2=Lisicki|first2=M.|author3-link=Hartmut Löwen|last3=Löwen|first3=H.|last4=Menzel|first4=A. M.|title=Dynamics of a microswimmer–microplatelet composite|journal=Physics of Fluids|date=5 February 2020|volume=32|issue=2|pages=021902|doi=10.1063/1.5142054|arxiv=2001.06646|bibcode=2020PhFl...32b1902D }}</ref>