Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Arbi, Adnène; Altamirano, Gilder Cieza; Cao, Jinde Neuro-swarms intelligent computing using Gudermannian kernel for solving a class of second order Lane-Emden singular nonlinear model. (English) Zbl 1525.65072 AIMS Math. 6, No. 3, 2468-2485 (2021). MSC: 65L99 35B40 68T07 PDFBibTeX XMLCite \textit{Z. Sabir} et al., AIMS Math. 6, No. 3, 2468--2485 (2021; Zbl 1525.65072) Full Text: DOI
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Altamirano, Gilder Cieza; Zhang, Yu-Dong; Le, Dac-Nhuong Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane-Emden pantograph models. (English) Zbl 07428990 Math. Comput. Simul. 188, 87-101 (2021). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{Z. Sabir} et al., Math. Comput. Simul. 188, 87--101 (2021; Zbl 07428990) Full Text: DOI
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Khalique, Chaudry Masood; Unlu, Canan Neuro-evolution computing for nonlinear multi-singular system of third order Emden-Fowler equation. (English) Zbl 07331091 Math. Comput. Simul. 185, 799-812 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{Z. Sabir} et al., Math. Comput. Simul. 185, 799--812 (2021; Zbl 07331091) Full Text: DOI
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G.; Shoaib, Muhammad Integrated intelligent computing with neuro-swarming solver for multi-singular fourth-order nonlinear Emden-Fowler equation. (English) Zbl 1476.37108 Comput. Appl. Math. 39, No. 4, Paper No. 307, 18 p. (2020). MSC: 37N30 34C08 PDFBibTeX XMLCite \textit{Z. Sabir} et al., Comput. Appl. Math. 39, No. 4, Paper No. 307, 18 p. (2020; Zbl 1476.37108) Full Text: DOI
Sabir, Zulqurnain; Saoud, Sahar; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Arbi, Adnène Heuristic computing technique for numerical solutions of nonlinear fourth order Emden-Fowler equation. (English) Zbl 1523.65069 Math. Comput. Simul. 178, 534-548 (2020). MSC: 65L99 PDFBibTeX XMLCite \textit{Z. Sabir} et al., Math. Comput. Simul. 178, 534--548 (2020; Zbl 1523.65069) Full Text: DOI