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International Journal of Mathematical Modelling and Numerical Optimisation最新文献

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Adaptive finite element method for wick stochastic partial differential equations 随机偏微分方程的自适应有限元法
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.134153
Boujemâa Achchab, Khalid Bouihat, Abderrezzak El Bouayadi
{"title":"Adaptive finite element method for wick stochastic partial differential equations","authors":"Boujemâa Achchab, Khalid Bouihat, Abderrezzak El Bouayadi","doi":"10.1504/ijmmno.2023.134153","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.134153","url":null,"abstract":"In this paper we approximate the solution of the wick stochastic partial differential equation by the affine conforming finite element method. Then we provide a priori and a posteriori error estimations and prove the convergence of the numerical method. In particular, we construct a Galerkin approximation scheme and we derive the local residual based on posteriori error indicator, all the while proving its efficiency and reliability. Finally, two numerical examples are presented and analysed to illustrate the derived theoretical results, the effectiveness of the proposed adaptive algorithm and the good behaviour of the numerical solution and the mesh adaptation strategy used.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136305755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computational models to study the infectious disease COVID-19: a review 研究传染病COVID-19的计算模型综述
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.134156
Amit Sharma, Gaurang Sharma, Fateh Singh
{"title":"Computational models to study the infectious disease COVID-19: a review","authors":"Amit Sharma, Gaurang Sharma, Fateh Singh","doi":"10.1504/ijmmno.2023.134156","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.134156","url":null,"abstract":"The current COVID-19 pandemic that is still waging in the world is a threat to humanity, and the cure for it is a big challenge for researchers, scientists, and the bio-medical community. However, the vaccine is available nowadays, but the infection is still increasing globally. In this paper, the different types of existing mathematical models related to the COVID-19 outbreak, namely, SI, SIS, SEIS, SIR, SIRS, SEIR, AI, logistic growth model, Poisson model and the expanded models are discussed. The basic reproduction number is one of the most important parameters for predicting the future of COVID-19, and existing models use it to forecast coronavirus disease around the globe. The motive of present study is to elaborate the key factors related to control of pandemic and to introduce the different type of existing mathematical models and applications to the readers under one platform. The initial description of the existing mathematical models gives us better insight of the disease and based on existing literature, future prediction of the spread of COVID-19 can be done more accurately and efficiently.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136305316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A robust semi-analytical approach to study fractional coupled Sokolov Wilson system in shallow water waves 浅水波中分数阶耦合Sokolov Wilson系统的鲁棒半解析方法
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.134155
Yogeshwari F. Patel, Jayesh M. Dhodiya
{"title":"A robust semi-analytical approach to study fractional coupled Sokolov Wilson system in shallow water waves","authors":"Yogeshwari F. Patel, Jayesh M. Dhodiya","doi":"10.1504/ijmmno.2023.134155","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.134155","url":null,"abstract":"In this paper, a semi-analytical approach namely, modified differential transform method is suggested to investigate coupled fractional nonlinear Drinfeld-Sokolov-Wilson equations (CFDSWE) that arise in shallow water flow models. The Caputo sense is used to characterise the fractional derivative. The solution of coupled fractional nonlinear Drinfeld-Sokolov-Wilson equations is obtained for two different cases. The obtained solution shows an excellent agreement with the exact solution for classical order which shows the effectiveness and reliability of the method. The results show that the fractional modified differential transform method is a promising tool to find the analytical solution of highly nonlinear fractional PDEs. The computational work is done in the MATLAB software package.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136305329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimizing reactive power using a hybrid improved shuffled bat algorithm 利用混合改进的洗牌蝙蝠算法优化无功功率
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.10058301
Chandrakala D, M. J, B. Sundaram, Gowrishankar J, MuniSekhar P
{"title":"Optimizing reactive power using a hybrid improved shuffled bat algorithm","authors":"Chandrakala D, M. J, B. Sundaram, Gowrishankar J, MuniSekhar P","doi":"10.1504/ijmmno.2023.10058301","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10058301","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimising reactive power using a hybrid improved shuffled bat algorithm 使用混合改进的洗牌蝙蝠算法优化无功功率
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.134157
J. Gowrishankar, G. Balasundaram, J. Manikandan, D. Chandrakala, P. Munisekhar
{"title":"Optimising reactive power using a hybrid improved shuffled bat algorithm","authors":"J. Gowrishankar, G. Balasundaram, J. Manikandan, D. Chandrakala, P. Munisekhar","doi":"10.1504/ijmmno.2023.134157","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.134157","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136305979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Post COVID-19 dynamics through fractional-order 通过分数阶分析新冠肺炎疫情后的动态
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.134154
Nita H. Shah, Nisha Sheoran
{"title":"Post COVID-19 dynamics through fractional-order","authors":"Nita H. Shah, Nisha Sheoran","doi":"10.1504/ijmmno.2023.134154","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.134154","url":null,"abstract":"In this article, a fractional-order model for the COVID-19 scenario in India is formulated using nine different compartments in the Caputo sense. The fractional-order model mainly focuses on memory giving a better understanding of results. The formulated model has three equilibrium points namely disease-free, asymptomatic-free, and endemic equilibria. The basic reproduction number is computed for the model. The local stability conditions are derived for all three equilibrium points. Also, after four lockdowns in India, in this study, the unlocked COVID-19 data is considered for the best fit using the least curve fit method shown in numerical simulation. The figures and graphs are plotted to show the effectiveness of fractional-order and other various dynamics of the system.","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136305119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical solution of Lane-Emden Pantograph Delay Differential Equation: Stability and Convergence Analysis. Lane-Emden受电弓延迟微分方程的数值解:稳定性和收敛性分析。
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.10049441
A. Barnwal, Nikhil Sriwastav
{"title":"Numerical solution of Lane-Emden Pantograph Delay Differential Equation: Stability and Convergence Analysis.","authors":"A. Barnwal, Nikhil Sriwastav","doi":"10.1504/ijmmno.2023.10049441","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10049441","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adaptive finite element method for Wick Stochastic partial differential equations Wick随机偏微分方程的自适应有限元法
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.10056693
Abderrazzak Bouayadi, K. Bouihat, B. Achchab
{"title":"Adaptive finite element method for Wick Stochastic partial differential equations","authors":"Abderrazzak Bouayadi, K. Bouihat, B. Achchab","doi":"10.1504/ijmmno.2023.10056693","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10056693","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":"327-351"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Post COVID-19 Dynamics through Fractional-Order 通过分数阶分析COVID-19后的动态
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.10057423
Nisha Sheoran, Nita H. Shah
{"title":"Post COVID-19 Dynamics through Fractional-Order","authors":"Nisha Sheoran, Nita H. Shah","doi":"10.1504/ijmmno.2023.10057423","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10057423","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"41 1","pages":"383-404"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computational Models to Study the Infectious Disease COVID-19: A Review 研究传染病COVID-19的计算模型综述
International Journal of Mathematical Modelling and Numerical Optimisation Pub Date : 2023-01-01 DOI: 10.1504/ijmmno.2023.10058159
Fateh Singh, Gaurang Sharma, Arun Sharma
{"title":"Computational Models to Study the Infectious Disease COVID-19: A Review","authors":"Fateh Singh, Gaurang Sharma, Arun Sharma","doi":"10.1504/ijmmno.2023.10058159","DOIUrl":"https://doi.org/10.1504/ijmmno.2023.10058159","url":null,"abstract":"","PeriodicalId":38699,"journal":{"name":"International Journal of Mathematical Modelling and Numerical Optimisation","volume":"1 1","pages":"405-441"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66740154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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