journal article·2022Open access

Nonlinear Dynamics of Nervous Stomach Model Using Supervised Neural Networks

Zulqurnain Sabir, Manoj Gupta, Muhammad Asif Zahoor Raja, N. Seshagiri Rao, Muhammad Mubashar Hussain, Faisal Alanazi, Orawit Thinnukool, Pattaraporn Khuwuthyakorn

Computers, Materials & Continua· Volume 72· Issue 1

Abstract

The purpose of the current investigations is to solve the nonlinear dynamics based on the nervous stomach model (NSM) using the supervised neural networks (SNNs) along with the novel features of Levenberg-Marquardt backpropagation technique (LMBT), i.e., SNNs-LMBT. The SNNs-LMBT is implemented with three different types of sample data, authentication, testing and training. The ratios for these statistics to solve three different variants of the nonlinear dynamics of the NSM are designated 75% for training, 15% for validation and 10% for testing, respectively. For the numerical measures of the nonlinear dynamics of the NSM, the Runge-Kutta scheme is implemented to form the reference dataset. The attained numerical form of the nonlinear dynamics of the NSM through the SNNs-LMBT is implemented in the reduction of the mean square error (MSE). For the exactness, competence, reliability and efficiency of the proposed SNNs-LMBT, the numerical actions are capable using the proportional arrangements through the features of the MSE results, error histograms (EHs), regression and correlation.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Heart Rate Variability and Autonomic Control · Advanced Adaptive Filtering Techniques · Fractional Differential Equations Solutions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (44)

Show source-provided references
1. Analytical and approximate solutions of a novel nervous stomach mathematical model10.1155/2020/5063271 ↗
2. On the nature of the acid and saline matters usually existing in the stomachs of animals. philosophical10.1098/rstl.1824.0006 ↗
3. Preliminary communication on the causation of the so called peripheral reflex secretion of the pancreas10.1016/S0140-6736(01)82072-9 ↗
4. The chemical mechanism of gastric secretion10.1113/jphysiol.1906.sp001146 ↗
5. Definition and antagonism of histamine H2-receptors10.1038/236385a0 ↗
6. Unidentified curved bacilli on gastric epithelium in active chronic gastritis10.1016/S0140-6736(83)92719-8 ↗
7. Evolutionary integrated heuristic with gudermannian neural networks for second kind of lane–emden nonlinear singular models10.3390/app11114725 ↗
8. Calculation of line of site periods between two artificial satellites under the action air drag10.21042/AMNS.2018.2.00027 ↗
9. Heuristic computing technique for numerical solutions of nonlinear fourth order emden–fowler equation10.1016/j.matcom.2020.06.021 ↗
10. Design of morlet wavelet neural network for solving a class of singular pantograph nonlinear differential models10.1109/ACCESS.2021.3072952 ↗
11. Visibility intervals between two artificial satellites under the action of earth oblateness10.21042/AMNS.2018.2.00028 ↗
12. Neuro-evolution computing for nonlinear multi-singular system of third order emden–fowler equation10.1016/j.matcom.2021.02.004 ↗
13. Integrated neuro-swarm heuristic with interior-point for nonlinear SITR model for dynamics of novel COVID-1910.1016/j.aej.2021.01.043 ↗
14. A stochastic intelligent computing with neuro-evolution heuristics for nonlinear SITR system of novel COVID-19 dynamics10.3390/sym12101628 ↗
15. Integrated intelligent computing paradigm for nonlinear multi-singular third-order emden–fowler equation10.1007/s00521-020-05187-w ↗
16. Design of neuro-swarming-based heuristics to solve the third-order nonlinear multi-singular emden–Fowler equation10.1140/epjp/s13360-020-00424-6 ↗
17. Neuro-heuristics for nonlinear singular thomas-Fermi systems10.1016/j.asoc.2018.01.009 ↗
18. A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head10.1140/epjp/i2018-12153-4 ↗
19. Evolutionary computing for nonlinear singular boundary value problems using neural network, genetic algorithm and active-set algorithm10.1140/epjp/s13360-021-01171-y ↗
20. A neuro-swarming intelligence based computing for second order singular periodic non-linear boundary value problems10.3389/fphy.2020.00224 ↗
21. Stochastic numerical approach for solving second order nonlinear singular functional differential equation10.1016/j.amc.2019.124605 ↗
22. Numerical investigations of a new singular second-order nonlinear coupled functional lane–Emden model10.1515/phys-2020-0185 ↗
23. Neuro-swarm intelligent computing to solve the second-order singular functional differential model10.1140/epjp/s13360-020-00440-6 ↗
24. A stochastic numerical computing heuristic of SIR nonlinear model based on dengue fever10.1016/j.rinp.2020.103585 ↗
25. Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing10.1007/s00521-017-3110-9 ↗
26. FMNEICS: Fractional meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order lane–Emden system10.1007/s40314-020-01350-0 ↗
27. Solving a novel designed second order nonlinear lane–Emden delay differential model using the heuristic techniques10.1016/j.asoc.2021.107105 ↗
28. Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation10.1142/S0218348X21400223 ↗
29. Integrated neuro evolution heuristic with sequential quadratic programming for second order prediction differential models
30. Fractional mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on lane-emden equation10.1142/S0218348X2140017X ↗
31. A novel design of fractional meyer wavelet neural networks with application to the nonlinear singular fractional lane-emden systems10.1016/j.aej.2021.01.004 ↗
32. Computational intelligent paradigms to solve the nonlinear SIR system for spreading infection and treatment using levenberg–marquardt backpropagation10.3390/sym13040618 ↗
33. A generalization of truncated M-fractional derivative and applications to fractional differential equations10.2478/amns.2020.1.00016 ↗
34. New complex hyperbolic structures to the lonngren-wave equation by using sine-gordon expansion method10.2478/AMNS.2019.1.00013 ↗
35. The effects of activation energy and thermophoretic diffusion of nanoparticles on steady micropolar fluid along with brownian motion10.1155/2020/2010568 ↗
36. Influence of velocity slip and temperature jump conditions on the peristaltic flow of a jeffrey fluid in contact with a newtonian fluid10.21042/AMNS.2017.2.00034 ↗
37. Design of a nonlinear SITR fractal model based on the dynamics of a novel coronavirus (COVID-19)10.1142/S0218348X20400265 ↗
38. Impact of activation energy and temperature-dependent heat source/sink on Maxwell–sutterby fluid
39. Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems10.2478/AMNS.2019.2.00030 ↗
40. Numerical investigations to design a novel model based on the fifth order system of emden–Fowler equations10.1016/j.taml.2020.01.049 ↗
41. Upshot of radiative rotating prandtl fluid flow over a slippery surface embedded with variable species diffusivity and multiple convective boundary conditions10.1002/htj.22010 ↗
42. Characteristics of melting heat transport of blood with time-dependent cross-nanofluid model using keller–box and BVP4C method
43. On a new model based on third-order nonlinear multi singular functional differential equations
44. Artificial neural networks to solve the singular model with neumann–Robin, dirichlet and neumann boundary conditions10.3390/s21196498 ↗