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The LMA is one of the fastest backpropagation methods used for solving least\u2010squares of nonlinear problems. We create a dataset to train, test, and validate the LMA\u2010BANN model regarding the solution obtained by optimal homotopy asymptotic (OHA) method. The proposed model is evaluated by conducting experiments on a dataset acquired from the OHA method. The experimental results are obtained by using mean square error (MSE) and absolute error (AE) metric functions. The learning process of the adjustable parameters is conducted with efficacy of the LMA\u2010BANN model. The performance of the developed LMA\u2010BANN for the modelled problem is confirmed by achieving the best promise numerical results of performance in the range of E\u201005 to E\u201008 and also assessed by error histogram plot (EHP) and regression plot (RP) measures.<\/jats:p>","DOI":"10.1155\/2021\/5337589","type":"journal-article","created":{"date-parts":[[2021,12,13]],"date-time":"2021-12-13T23:05:08Z","timestamp":1639436708000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":94,"title":["Levenberg\u2013Marquardt Backpropagation for Numerical Treatment of Micropolar Flow in a Porous Channel with Mass Injection"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1027-7690","authenticated-orcid":false,"given":"Hakeem","family":"Ullah","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Imran","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8172-4964","authenticated-orcid":false,"given":"Hussain","family":"AlSalman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Saeed","family":"Islam","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9953-822X","authenticated-orcid":false,"given":"Muhammad","family":"Asif Zahoor Raja","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Muhammad","family":"Shoaib","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8512-9687","authenticated-orcid":false,"given":"Abdu","family":"Gumaei","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mehreen","family":"Fiza","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kashif","family":"Ullah","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sk. 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