{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T15:00:16Z","timestamp":1761663616516,"version":"3.41.2"},"reference-count":9,"publisher":"Emerald","issue":"2","license":[{"start":{"date-parts":[[2017,6,12]],"date-time":"2017-06-12T00:00:00Z","timestamp":1497225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJICC"],"published-print":{"date-parts":[[2017,6,12]]},"abstract":"<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title>\n<jats:p>The purpose of this paper is to investigate the analytical solution of a hyperbolic partial differential equation (PDE) and its application.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title>\n<jats:p>The change of variables and the method of successive approximations are introduced. The Volterra transformation and boundary control scheme are adopted in the analysis of the reaction-diffusion system.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Findings<\/jats:title>\n<jats:p>A detailed and complete calculation process of the analytical solution of hyperbolic PDE (1)-(3) is given. Based on the Volterra transformation, a reaction-diffusion system is controlled by boundary control.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title>\n<jats:p>The introduced approach is interesting for the solution of hyperbolic PDE and boundary control of the reaction-diffusion system.<\/jats:p>\n<\/jats:sec>","DOI":"10.1108\/ijicc-10-2016-0040","type":"journal-article","created":{"date-parts":[[2017,4,28]],"date-time":"2017-04-28T07:40:08Z","timestamp":1493365208000},"page":"183-199","source":"Crossref","is-referenced-by-count":3,"title":["Analytical solution of a hyperbolic partial differential equation and its application"],"prefix":"10.1108","volume":"10","author":[{"given":"Ping","family":"He","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangmin","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"volume-title":"Numerical Methods for Nonlinear Partial Differential Equations","year":"2015","key":"key2020120705122273500_ref001"},{"issue":"3-5","key":"key2020120705122273500_ref002","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/j.jsv.2009.07.009","article-title":"Boundary control of three-dimensional inextensible marine risers","volume":"327","year":"2009","journal-title":"Journal of Sound and Vibration"},{"edition":"1st ed.","volume-title":"Mathematical Methods for Physics","year":"2012","key":"key2020120705122273500_ref003"},{"issue":"S2","key":"key2020120705122273500_ref004","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1002\/cplx.21782","article-title":"\u210b\u221esynchronization of coupled reaction-diffusion neural networks with mixed delays","volume":"21","year":"2016","journal-title":"Complexity"},{"issue":"1","key":"key2020120705122273500_ref005","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.jfranklin.2015.10.013","article-title":"Noise tolerance leader-following of high-order nonlinear dynamical multi-agent systems with switching topology and communication delay","volume":"353","year":"2016","journal-title":"Journal of the Franklin Institute"},{"volume-title":"Boundary Control of PDEs: A Course on Backstepping Designs","year":"2008","key":"key2020120705122273500_ref006"},{"issue":"3","key":"key2020120705122273500_ref007","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1137\/S0363012902402414","article-title":"Boundary feedback stabilization of an unstable heat equation","volume":"42","year":"2003","journal-title":"SIAM Journal on Control and Optimization"},{"edition":"1st ed.","volume-title":"Adaptive Control of Parabolic PDEs","year":"2010","key":"key2020120705122273500_ref008"},{"issue":"1","key":"key2020120705122273500_ref009","first-page":"108","article-title":"Boundary control of coupled reaction-advection-diffusion systems with spatially-varying coefficients","volume":"53","year":"2016","journal-title":"IEEE Transactions on Automatic Control"}],"container-title":["International Journal of Intelligent Computing and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/IJICC-10-2016-0040\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/IJICC-10-2016-0040\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T22:54:58Z","timestamp":1753397698000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/ijicc\/article\/10\/2\/183-199\/118973"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,12]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,6,12]]}},"alternative-id":["10.1108\/IJICC-10-2016-0040"],"URL":"https:\/\/doi.org\/10.1108\/ijicc-10-2016-0040","relation":{},"ISSN":["1756-378X"],"issn-type":[{"type":"print","value":"1756-378X"}],"subject":[],"published":{"date-parts":[[2017,6,12]]}}}