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Next, we utilize the third-kind Chebyshev wavelet collocation method to convert the resulting system from the prior step into a set of algebraic equations. To demonstrate the method\u2019s effectiveness, we apply it to the time-fractional Camassa\u2013Holm equation and a third-order time-singular PDE. The outcomes are compared with those from several established methods to illustrate the method\u2019s efficiency and practicality. <\/jats:p>","DOI":"10.1142\/s0219691325500031","type":"journal-article","created":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T05:12:11Z","timestamp":1737177131000},"source":"Crossref","is-referenced-by-count":0,"title":["An efficient Chebyshev wavelet collocation technique for the time-fractional Camassa\u2013Holm equation"],"prefix":"10.1142","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2705-8942","authenticated-orcid":false,"given":"Nasser","family":"Aghazadeh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Izmir Institute of Technology, Izmir, T\u00fcrkiye"},{"name":"Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran"}]}],"member":"219","published-online":{"date-parts":[[2025,2,11]]},"reference":[{"doi-asserted-by":"publisher","key":"S0219691325500031BIB001","DOI":"10.1186\/s13662-021-03388-8"},{"year":"2024","author":"Aghazadeh N.","journal-title":"Comput. 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