A Novel Design of Morlet Wavelet to Solve the Dynamics of Nervous Stomach Nonlinear Model

The present study introduces a novel design of Morlet wavelet neural network (MWNN) models to solve a class of a nonlinear nervous stomach system represented with governing ODEs systems via three categories, tension, food and medicine, i.e., TFM model. The comprehensive detail of each category is designated together with the sleep factor, food rate, tension rate, medicine factor and death rate are also provided. The computational structure of MWNNs along with the global search ability of genetic algorithm (GA) and local search competence of active-set algorithms (ASAs), i.e., MWNN-GA-ASAs is applied to solve the TFM model. The optimization of an error function, for nonlinear TFM model and its related boundary conditions, is performed using the hybrid heuristics of GA-ASAs. The performance of the obtained outcomes through MWNN-GA-ASAs for solving the nonlinear TFM model is compared with the results of state of the article numerical computing paradigm via Adams methods to validate the precision of the MWNN-GA-ASAs. Moreover, statistical assessments studies for 50 independent trials with 10 neuron-based networks further authenticate the efficacy, reliability and consistent convergence of the proposed MWNN-GA-ASAs.

[1]  Raja Muhammad Asif Zahoor,et al.  Novel design of Morlet wavelet neural network for solving second order Lane-Emden equation , 2020, Math. Comput. Simul..

[2]  Muhammad Saeed Aslam,et al.  Design of nature-inspired heuristic paradigm for systems in nonlinear electrical circuits , 2019, Neural Computing and Applications.

[3]  Raja Muhammad Asif Zahoor,et al.  Intelligent computing for numerical treatment of nonlinear prey-predator models , 2019, Appl. Soft Comput..

[4]  M. Raja,et al.  Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy , 2019, Advances in Mathematical Physics.

[5]  M. Raja,et al.  Design of intelligent computing networks for numerical treatment of thin film flow of Maxwell nanofluid over a stretched and rotating surface , 2021 .

[6]  J. Anitha,et al.  Modified Genetic Algorithm approaches for classification of abnormal Magnetic Resonance Brain tumour images , 2019, Appl. Soft Comput..

[7]  Zulqurnain Sabir,et al.  Integrated intelligence of neuro-evolution with sequential quadratic programming for second-order Lane-Emden pantograph models , 2021, Math. Comput. Simul..

[8]  Raja Muhammad Asif Zahoor,et al.  Heuristic computing technique for numerical solutions of nonlinear fourth order Emden-Fowler equation , 2020, Math. Comput. Simul..

[9]  Zuhaib Ashfaq Khan,et al.  Numerical Computing Paradigm for Investigation of Micropolar Nanofluid Flow Between Parallel Plates System with Impact of Electrical MHD and Hall Current , 2020 .

[10]  Muhammad Saeed Aslam,et al.  Novel applications of intelligent computing paradigms for the analysis of nonlinear reactive transport model of the fluid in soft tissues and microvessels , 2019, Neural Computing and Applications.

[11]  S. Niazi,et al.  Numerical Treatments to Analyze the Nonlinear Radiative Heat Transfer in MHD Nanofluid Flow with Solar Energy , 2020 .

[12]  Raja Muhammad Asif Zahoor,et al.  Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing , 2017, Neural Computing and Applications.

[13]  J. Black,et al.  Definition and Antagonism of Histamine H2-receptors , 1972, Nature.

[14]  Zulqurnain Sabir,et al.  Design of neuro-swarming-based heuristics to solve the third-order nonlinear multi-singular Emden–Fowler equation , 2020, The European Physical Journal Plus.

[15]  Shuai Wang,et al.  Multi-parameter and multi-objective optimisation of articulated monorail vehicle system dynamics using genetic algorithm , 2020, Vehicle System Dynamics.

[16]  S. Mirza,et al.  Fractional-order particle swarm based multi-objective PWR core loading pattern optimization , 2020 .

[17]  Higinio Ramos,et al.  Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically , 2020, Neural Computing and Applications.

[18]  Muhammad Asif Zahoor Raja,et al.  A Neuro-Swarming Intelligence-Based Computing for Second Order Singular Periodic Non-linear Boundary Value Problems , 2020, Frontiers in Physics.

[19]  Yolanda Guerrero Sánchez,et al.  A stochastic numerical computing heuristic of SIR nonlinear model based on dengue fever , 2020 .

[20]  Oscar Danilo Montoya,et al.  Sequential quadratic programming models for solving the OPF problem in DC grids , 2019, Electric Power Systems Research.

[21]  Raja Muhammad Asif Zahoor,et al.  Integrated computational intelligent paradigm for nonlinear electric circuit models using neural networks, genetic algorithms and sequential quadratic programming , 2019, Neural Computing and Applications.

[22]  Saeed Islam,et al.  Cattaneo-christov heat flux model of 3D hall current involving biconvection nanofluidic flow with Darcy-Forchheimer law effect: Backpropagation neural networks approach , 2021, Case Studies in Thermal Engineering.

[23]  J. S. Edkins.  The chemical mechanism of gastric secretion 1 , 1906 .

[24]  M. Raja,et al.  Wavelets optimization method for evaluation of fractional partial differential equations: an application to financial modelling , 2018 .

[25]  Orlando Luongo,et al.  Kinematic reconstructions of extended theories of gravity at small and intermediate redshifts , 2020 .

[26]  Hongliang Liu,et al.  Stress-constrained topology optimization of continuum structures subjected to harmonic force excitation using sequential quadratic programming , 2018, Structural and Multidisciplinary Optimization.

[27]  Raja Muhammad Asif Zahoor,et al.  Bio-inspired heuristics hybrid with sequential quadratic programming and interior-point methods for reliable treatment of economic load dispatch problem , 2017, Neural Computing and Applications.

[28]  Muhammad Asif Zahoor Raja,et al.  A stochastic computational intelligent solver for numerical treatment of mosquito dispersal model in a heterogeneous environment , 2020, The European Physical Journal Plus.

[29]  Raja Muhammad Asif Zahoor,et al.  Bio-inspired heuristics for layer thickness optimization in multilayer piezoelectric transducer for broadband structures , 2019, Soft Comput..

[30]  Zulqurnain Sabir,et al.  A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems , 2021 .

[31]  Yong Xia,et al.  GA-SVM based feature selection and parameter optimization in hospitalization expense modeling , 2019, Appl. Soft Comput..

[32]  Yasir Muhammad,et al.  Design of fractional swarming strategy for solution of optimal reactive power dispatch , 2019, Neural Computing and Applications.

[33]  Ayaz Hussain Bukhari,et al.  A Stochastic Numerical Analysis Based on Hybrid NAR-RBFs Networks Nonlinear SITR Model for Novel COVID-19 Dynamics , 2022 .

[34]  Anna Witkowska,et al.  Adaptive dynamic control allocation for dynamic positioning of marine vessel based on backstepping method and sequential quadratic programming , 2018, Ocean Engineering.

[35]  Bo Yang,et al.  A dynamic ant-colony genetic algorithm for cloud service composition optimization , 2019, The International Journal of Advanced Manufacturing Technology.

[36]  H. M. Baskonus,et al.  Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model , 2020, Discrete Dynamics in Nature and Society.

[37]  Iftikhar Ahmad,et al.  A novel design of Gaussian Wavelet Neural Networks for nonlinear Falkner-Skan systems in fluid dynamics , 2021 .

[38]  M. Raja,et al.  Integrated neuro‐evolution heuristic with sequential quadratic programming for second‐order prediction differential models , 2020 .