Аннотация:The current study shows a novel singular perturbed delay third order model (NSPD-TOM) with its two categories using the conventional Lane-Emden mathematical model. The comprehensive detail of perturbed, shape/delay and singular terms are also provided for both categories of NSPD-TOM. The numerical performances of NSPD-TOM are presented through the procedures of artificial neural networks with the optimizations of global swarming procedure and local refinements of active set method. The NSPD-TOM is numerically performed based on the accuracy, substantiation, and authenticity through the comparison of achieved and true results. Moreover, the performance of the stochastic procedure is further authenticated by applying statistical operators to solve the NSPD-TOM.
