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This demonstrates efficiency of the method over the fixed pivot technique (Kumar and Warnecke in Numer Math 110(4):539\u2013559, 2008) and the cell average technique (Kumar and Warnecke in Numer Math 111(1):81\u2013108, 2008). Numerical results are compared against the cell average technique and the experimental order of convergence is calculated to confirm the theoretical order of convergence.<\/jats:p>","DOI":"10.1007\/s00211-023-01344-0","type":"journal-article","created":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T15:02:58Z","timestamp":1675522978000},"page":"531-555","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation"],"prefix":"10.1007","volume":"153","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8864-5537","authenticated-orcid":false,"given":"Jitraj","family":"Saha","sequence":"first","affiliation":[]},{"given":"Mehakpreet","family":"Singh","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,2,4]]},"reference":[{"issue":"7","key":"1344_CR1","doi-asserted-by":"publisher","first-page":"2669","DOI":"10.1016\/j.apt.2020.04.032","volume":"31","author":"F Ahamed","year":"2020","unstructured":"Ahamed, F., Singh, M., Song, H.-S., Doshi, P., Ooi, C.W., Ho, Y.K.: On the use of sectional techniques for the solution of depolymerization population balances: results on a discrete-continuous mesh. 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