“…The reliability, stability, and convergence of the proposed ANN-BR algorithm were further certified by a mean squares errors based fitness metric, histogram illustrations, and regression analysis for each variant of the BCSNF model. In the future, new variants of artificial intelligence based integrated intelligent networks (Ahmadi, Sadeghzadeh, et al, 2019;Alotaibi et al, 2020;Duan et al, 2020;Park et al, 2020;Sabir et al, 2020) will be developed by the interested researcher for solving stiff/nonlinear/singular systems representing the fluid mechanics models (Ahmad et al, 2021;Ahmadi, Mohseni-Gharyehsafa, et al, 2019;Siddiqa et al, 2018;, circuit theory dynamics (Mehmood, Zameer, Aslam, et al, 2020, Mehmood, Zameer, Ling, et al, 2020, mathematical biological systems (Umar et al, 2020;Wang et al, 2020), information security models (Liu et al, 2020)), and astro/plasma/nuclear/atomic physics models (Bukhari et al, 2020;Ilyas et al, 2021;Jadoon et al, 2021;Zameer et al, 2020).…”