{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,13]],"date-time":"2025-11-13T07:21:39Z","timestamp":1763018499669,"version":"3.41.2"},"reference-count":43,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2023,8]]},"abstract":"<jats:p>In this paper, we propose an extended numerical algorithm for the numerical solution of the Benjamin\u2013Bona\u2013Mahony\u2013Burgers equation. This algorithm involves the application of wavelet theory. First, we use the Quasilinearization technique of linearization and apply the 3-scale Haar wavelet approach for truncation error. This algorithm is constructed from two wavelet functions that make it robust and highly accurate. A multi-resolution is used to generate the Haar basis function. We consider three cases of a mathematical problem for the accuracy of the presented algorithm. The obtained results show good agreement with analytical solutions and have better accuracy.<\/jats:p>","DOI":"10.1142\/s179396232350023x","type":"journal-article","created":{"date-parts":[[2022,6,21]],"date-time":"2022-06-21T08:34:10Z","timestamp":1655800450000},"source":"Crossref","is-referenced-by-count":1,"title":["Error analysis and numerical solution of generalized Benjamin\u2013Bona\u2013Mahony\u2013Burgers equation using 3-scale Haar wavelets"],"prefix":"10.1142","volume":"14","author":[{"given":"Shitesh","family":"Shukla","sequence":"first","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manoj","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, Uttar Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,7,22]]},"reference":[{"issue":"1220","key":"S179396232350023XBIB001","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1098\/rsta.1972.0032","volume":"272","author":"Benjamin T. 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