The present study shows an intelligence computational framework for solving the singular, linear, and nonlinear Lane-Emden models using the well-known artificial neural networks (ANNs), genetic algorithm is a global search scheme, interior-point is a capable local search scheme and the hybrid of local and global search schemes. The neural network methods designate the suitable approaches to attain valuable prototypes using the unsubstantiated error for solving the singular models. The incentive to award this research is to originate a consistent framework combines with the significant topographies of ANNs to tackle the challenges of the singular systems. Comprehensive numerical research is proficient to approve the robustness, convergence, and correctness of the proposed numerical approach. The numerical measures are also compared with the true solutions to authenticate the excellence of the proposed numerical scheme.
Keywords: Nonlinear; Singular systems; Genetic algorithm; Interior-point scheme; Hybridization

Zulqurnain Sabir is native of a small village Pothi, district Jhelum, Pakistan. He has completed his MSc degree in Mathematics from Punjab University, Lahore, Pakistan. He passed M. Phil in mathematics from Preston University Kohat, Islamabad Campus, Pakistan. He graduated his PhD mathematics from the Hazara University, Mansehra, Pakistan. He has published more than 170 research papers in reported international WoS journals with good impact factor. His cumulative impact factor is more than 520, with 37 h-index and 93 i10- index. His area of interests includes artificial intelligence, mathematical modeling, unsupervised/supervised neural networks and deep neural networks by using the computational techniques. He is famous to solve the singular, functional, fractional, higher order, biological and fluid models. He is a pioneer to extend Lane-Emden and Emden-Fowler models up to 7^th order and solved using the artificial neural networks. He also solved pantograph, prediction, delay differential singular models along with fractional order differential biological models including coronavirus, bone transformation, cancer, influenza, dengue model, etc. Recently, he is nominated in the list of top 2% of scientists with various disciplines according to Stanford University global list. He is currently working as a senior researcher in the United Arab Emirates University, UAE.