An Efficient Numerical Scheme for Biological Models in the Frame of Bernoulli Wavelets  

作　　者：Fei Li Haci Mehmet Baskonus S.Kumbinarasaiah G.Manohara Wei Gao Esin Ilhan 

机构地区：[1]Department of Scientific Research,Yunnan Normal University,Kunming,650500,China [2]Department of Mathematics and Science Education,Harran University,Sanliurfa,63050,Türkiye [3]Department of Mathematics,Bangalore University,Bengaluru,560056,India [4]School of Information Science and Technology,Yunnan Normal University,Kunming,650500,China [5]Faculty of Engineering and Architecture,Kirsehir Ahi Evran University,Kırsehir,40500,Türkiye

出　　处：《Computer Modeling in Engineering & Sciences》2023年第12期2381-2408,共28页工程与科学中的计算机建模（英文）

摘　　要：This article considers three types of biological systems:the dengue fever disease model,the COVID-19 virus model,and the transmission of Tuberculosis model.The new technique of creating the integration matrix for the Bernoulli wavelets is applied.Also,the novel method proposed in this paper is called the Bernoulli wavelet collocation scheme(BWCM).All three models are in the form system of coupled ordinary differential equations without an exact solution.These systems are converted into a system of algebraic equations using the Bernoulli wavelet collocation scheme.The numerical wave distributions of these governing models are obtained by solving the algebraic equations via the Newton-Raphson method.The results obtained from the developed strategy are compared to several schemes such as the Runge Kutta method,and ND solver in mathematical software.The convergence analyses are discussed through theorems.The newly implemented Bernoulli wavelet method improves the accuracy and converges when it is compared with the existing methods in the literature.

关 键 词：Biological systems system of coupled ODEs bernoulli wavelets functional matrix collocation technique 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]