Integrated intelligent computing paradigm for nonlinear multi-singular third-order Emden–Fowler equation

Evolutionary Integrated Heuristic with Gudermannian Neural Networks for Second Kind of Lane–Emden Nonlinear Singular Models

“…All presented above schemes have their individual sensitivity, potential, efficiency, and correctness, as well as weaknesses, flaws, and demerits over each other. The extensive computing heuristic approach potential is to solve the singular systems applying the widespread capacity of artificial neural networks (ANNs) collectively with local and global based search approaches [17][18][19][20][21][22][23]. Few noteworthy illustrations contain neuro-intelligent computing approach to study the dynamics of convective heat transfer involving carbon nanotubes [24], dusty plasma nonlinear model [25], model of mosquito release in the heterogeneous atmosphere [26], Navier Stokes problems [27], singular functional differential model [28], HIV infection system of CD4+ T cells [29], plasma-based physics investigations [30], Thomas-Fermi singular system [31], prey-predator biological system [32], nanotechnology [33], killing well control system [34], biological model based on corneal shape [35], Jeffery Hamel flow problem [36], parameter estimation in biodiesel studies [37] and model of atomic physics model [38].…”

Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models

“…The aim of the present study is to solve the singular pantograph differential model of second kind by designing a layer structure of feed-forward artificial neural networks using the Morlet wavelet activation function, while the optimization task is accomplished with the strength of global and local search terminologies of genetic algorithm (GA) and interiorpoint algorithm (IPA), i.e., MWNN-GAIPA. The stochastic procedures have been implemented to solve various problems like nonlinear SIR system of dengue fever [27], prey-predator models [28], infectious disease model [29], rotational dynamics of nanofluid flow over a stretching sheet with thermal radiation [30], HIV infection spread model [31], nonlinear periodic singular boundary value problems [32], forecasting of the financial market [33], nonlinear multisingular systems [34], singular third kind of differential model [35], COVID-19 dynamical SITR system [36] and heat conduction dynamics based human head system [37]. These cited inspirations motivated the authors to present the design of MWNN-GAIPA for solving a class of singular pantograph differential model.…”

Computational Intelligent Paradigms to Solve the Nonlinear SIR System for Spreading Infection and Treatment Using Levenberg–Marquardt Backpropagation

“…Stochastic approaches are efficient to solve many complex models using the swarming/evolutionary approaches such as singular higher order models [18][19][20][21], dusty plasma models [22], functional singular differential systems [23,24], biological models [25][26][27][28], fluid dynamic problems [29][30][31], singular Lane-Emden model [32,33], electric circuits [34,35], Thomas-Fermi singular model [36], singular three-point model [37] and periodic differential model [38]. The potential visualizations of the proposed LMB neural network are provided as:…”