{"title":"Burgers ve coupled Burgers denklemlerinin tam ve nümerik çözümleri üzerine","authors":"Mine Babaoğlu","doi":"10.54370/ordubtd.1006207","DOIUrl":null,"url":null,"abstract":"In this work, one dimensional Burgers' equation and coupled Burgers' equation are solved via Homotopy perturbation method (HPM). Solutions two and three-dimensional graphics and tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica. All the solutions found in this study validate the efficiency of the method. According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions. In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.","PeriodicalId":212595,"journal":{"name":"Ordu Üniversitesi Bilim ve Teknoloji Dergisi","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ordu Üniversitesi Bilim ve Teknoloji Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54370/ordubtd.1006207","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文利用同伦摄动法求解了一维Burgers方程和耦合Burgers方程。利用Wolfram Mathematica软件中的计算程序,构造了一些解的二维和三维图形和表格。本研究得到的所有解都验证了该方法的有效性。结果表明,我们得到的解收敛到解析解的速度非常快。总之,我们可以说,本方法也可以应用于广泛的非线性问题的求解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Burgers ve coupled Burgers denklemlerinin tam ve nümerik çözümleri üzerine
In this work, one dimensional Burgers' equation and coupled Burgers' equation are solved via Homotopy perturbation method (HPM). Solutions two and three-dimensional graphics and tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica. All the solutions found in this study validate the efficiency of the method. According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions. In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Investigation of Heat Transfer Effects in Unconfined and Confined Swirling Jets Impinging on a Flat Plate Endüstriyel Atık Suların Zirai Atıktan Türetilmiş Grafen Benzeri Malzemeler Kullanılarak Ardışık Elektrokimyasal, Kimyasal ve Fotokimyasal Yöntemlerle Arıtılması Zaman Kesirli Matematiksel Modelin Etkili Tekniklerle Çözümü The Effect of Different Agricultural Wastes on Yield and Quality in Cultivation of Pleurotus citrinopileatus and Pleurotus ostreatus Savurmalı Fındık Kırma Makinesinde Dönme Hızının Enerji Tüketimi, Kırma Verimi ve İç Fındık Kalitesi Üzerine Etkilerinin Belirlenmesi
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1