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Newton\u2019s method has been used to solve this nonlinear system of equations, and the desired approximate solution is achieved. Moreover, the error and convergence analysis of the presented method are also established in detail. Additionally, the applicability of the proposed method is demonstrated by solving some numerical examples.<\/jats:p>","DOI":"10.1515\/cmam-2022-0187","type":"journal-article","created":{"date-parts":[[2023,1,26]],"date-time":"2023-01-26T17:05:55Z","timestamp":1674752755000},"page":"715-728","source":"Crossref","is-referenced-by-count":6,"title":["A Novel Study Based on Shifted Jacobi Polynomials to Find the Numerical Solutions of Nonlinear Stochastic Differential Equations Driven by Fractional Brownian Motion"],"prefix":"10.1515","volume":"23","author":[{"given":"P.\u2009K.","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Mathematics , National Institute of Technology , Rourkela - 769008 , India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Saha Ray","sequence":"additional","affiliation":[{"name":"Department of Mathematics , National Institute of Technology , Rourkela - 769008 , India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2023,1,27]]},"reference":[{"key":"2023070413382886408_j_cmam-2022-0187_ref_001","doi-asserted-by":"crossref","unstructured":"M.  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