{"title":"使用带有卡普托导数的哈尔小波法求解化学反应模型","authors":"Jasinth Sylvia, Surath Ghosh","doi":"10.1007/s10910-024-01654-0","DOIUrl":null,"url":null,"abstract":"<div><p>Throughout this research paper, we represent a highly effective Haar wavelet technique to determine the solution of the complex nonlinear dynamical system with three variables chemical reaction model. The foremost objective of this study is to represent the dynamical behavior of chemical reaction model in the sense of Caputo derivative. The convergent analysis and stability analysis of the three variable chemical reaction model are discussed. The existence and uniqueness of the given model is also verified. Furthermore, the residual error analysis for this model is also presented. In addition, graphically the numerical solutions in a 2-dimensional and 3-dimensional manner are obtained by using MATLAB (2023a).</p></div>","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solution of chemical reaction model using Haar wavelet method with Caputo derivative\",\"authors\":\"Jasinth Sylvia, Surath Ghosh\",\"doi\":\"10.1007/s10910-024-01654-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Throughout this research paper, we represent a highly effective Haar wavelet technique to determine the solution of the complex nonlinear dynamical system with three variables chemical reaction model. The foremost objective of this study is to represent the dynamical behavior of chemical reaction model in the sense of Caputo derivative. The convergent analysis and stability analysis of the three variable chemical reaction model are discussed. The existence and uniqueness of the given model is also verified. Furthermore, the residual error analysis for this model is also presented. In addition, graphically the numerical solutions in a 2-dimensional and 3-dimensional manner are obtained by using MATLAB (2023a).</p></div>\",\"PeriodicalId\":648,\"journal\":{\"name\":\"Journal of Mathematical Chemistry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Chemistry\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10910-024-01654-0\",\"RegionNum\":3,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Chemistry","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s10910-024-01654-0","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Solution of chemical reaction model using Haar wavelet method with Caputo derivative
Throughout this research paper, we represent a highly effective Haar wavelet technique to determine the solution of the complex nonlinear dynamical system with three variables chemical reaction model. The foremost objective of this study is to represent the dynamical behavior of chemical reaction model in the sense of Caputo derivative. The convergent analysis and stability analysis of the three variable chemical reaction model are discussed. The existence and uniqueness of the given model is also verified. Furthermore, the residual error analysis for this model is also presented. In addition, graphically the numerical solutions in a 2-dimensional and 3-dimensional manner are obtained by using MATLAB (2023a).
期刊介绍：
The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches.
Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.
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