A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya
{"title":"利用卡普托-法布里齐奥 Aboodh 变换法与还原微分多项式的分数纳维-斯托克斯方程数值解法","authors":"A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya","doi":"10.37418/amsj.13.1.5","DOIUrl":null,"url":null,"abstract":"A combination of the Aboodh transform method and the reduced differential polynomial technique was employed in this work to solve the Navier-Stokes equations with the Caputo-Fabrizio derivative. Two illustrations are presented to show the efficacy of the used method. The results gotten are showcased with the aid of tables and graphs. It is discovered that the results derived are close to the actual solution of the problems illustrated. This work will thus make it simple to study nonlinear process that arise in various aspect of innovations and researches.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":" 13","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NUMERICAL SOLUTION OF THE FRACTIONAL NAVIER-STOKES EQUATION USING THE CAPUTO-FABRIZIO ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS\",\"authors\":\"A.A. Oyewumi, R. A. Oderinu, A.W. Ogunsola, M. Taiwo, A.A. Yahaya\",\"doi\":\"10.37418/amsj.13.1.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A combination of the Aboodh transform method and the reduced differential polynomial technique was employed in this work to solve the Navier-Stokes equations with the Caputo-Fabrizio derivative. Two illustrations are presented to show the efficacy of the used method. The results gotten are showcased with the aid of tables and graphs. It is discovered that the results derived are close to the actual solution of the problems illustrated. This work will thus make it simple to study nonlinear process that arise in various aspect of innovations and researches.\",\"PeriodicalId\":231117,\"journal\":{\"name\":\"Advances in Mathematics: Scientific Journal\",\"volume\":\" 13\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics: Scientific Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37418/amsj.13.1.5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Mathematics: Scientific Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37418/amsj.13.1.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A NUMERICAL SOLUTION OF THE FRACTIONAL NAVIER-STOKES EQUATION USING THE CAPUTO-FABRIZIO ABOODH TRANSFORM METHOD WITH THE REDUCED DIFFERENTIAL POLYNOMIALS
A combination of the Aboodh transform method and the reduced differential polynomial technique was employed in this work to solve the Navier-Stokes equations with the Caputo-Fabrizio derivative. Two illustrations are presented to show the efficacy of the used method. The results gotten are showcased with the aid of tables and graphs. It is discovered that the results derived are close to the actual solution of the problems illustrated. This work will thus make it simple to study nonlinear process that arise in various aspect of innovations and researches.