Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically

Abstract

In this study, bio-inspired computational techniques have been exploited to get the numerical solution of a nonlinear twopoint boundary value problem arising in the modelling of the corneal shape. The computational process of modelling and optimization makes enormously straightforward to obtain accurate approximate solutions of the corneal shape models through artificial neural networks, pattern search (PS), genetic algorithms (GAs), simulated annealing (SA), active-set technique (AST), interior-point technique, sequential quadratic programming and their hybrid forms based on GA-AST, PS-AST and SA-AST. Numerical results show that the designed solvers provide a reasonable precision and efficiency with minimal computational cost. The efficacy of the proposed computing strategies is also investigated through a descriptive statistical analysis by means of histogram illustrations, probability plots and one-way analysis of variance.

A novel application of Lobatto IIIA solver for numerical treatment of mixed convection nanofluidic model

“…In future, one may implement the Lobatto IIIA scheme for numerical treatment of many potential application arising in the fields of bioinformatics 42 – 44 , astro/plasma/atomic physics 45 – 47 , nonlinear circuit models 48 – 50 , fluid mechanics 51 – 56 , financial mathematics 57 , 58 and COVID-19 virus models 59 , 60 .…”

Numerical Treatment for the Second Law Analysis in Hydromagnetic Peristaltic Nanomaterial Rheology: Endoscopy Applications

“…In the future research, the soft computing intelligent techniques can be implemented as an efficient/accurate stochastic numerical solver implemented in nonlinear computational fluid mechanics models [33][34][35][36], singular and multi-singular differential systems [37][38][39] and mathematical models representing the problems of epidemiology [40][41][42].…”

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

“…Many researchers use such techniques to solve linear and nonlinear differential equations [29][30][31][33][34][35][36][37][38][39][40][41]43,43]. Few recent applications include hybrid rotational nanofluidic model with thermal characteristic consideration [44], crosswise stream fluid model involving nanomaterial over porous stretching medium [45], mathematical models of hydrogen possessions [46], COVID-19 epidemical models with future generation disease control [47], and nonlinear corneal shape model [48].…”