求解非线性耦合Burger方程的改进Adomian分解方法

Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI:10.12988/NADE.2015.41226

M. Al-Mazmumy, H. Al-Malki

{"title":"求解非线性耦合Burger方程的改进Adomian分解方法","authors":"M. Al-Mazmumy, H. Al-Malki","doi":"10.12988/NADE.2015.41226","DOIUrl":null,"url":null,"abstract":"In this paper, Adomian decomposition method (ADM) and some of its modification are considered to solve nonlinear coupled Bergur's equations. We consider two types of modification, the new modification of (ADM) and Laplace Adomian decomposition method (LADM). Finally the effectiveness of our methods is demonstrated by numerical experiments.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"The modified Adomian decomposition method for solving nonlinear coupled Burger's equations\",\"authors\":\"M. Al-Mazmumy, H. Al-Malki\",\"doi\":\"10.12988/NADE.2015.41226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, Adomian decomposition method (ADM) and some of its modification are considered to solve nonlinear coupled Bergur's equations. We consider two types of modification, the new modification of (ADM) and Laplace Adomian decomposition method (LADM). Finally the effectiveness of our methods is demonstrated by numerical experiments.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2015.41226\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2015.41226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 9

摘要

本文考虑了Adomian分解法(ADM)及其一些修正方法来求解非线性耦合Bergur方程。我们考虑了两种类型的修正，即新的修正(ADM)和拉普拉斯Adomian分解法(LADM)。最后通过数值实验验证了方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The modified Adomian decomposition method for solving nonlinear coupled Burger's equations

In this paper, Adomian decomposition method (ADM) and some of its modification are considered to solve nonlinear coupled Bergur's equations. We consider two types of modification, the new modification of (ADM) and Laplace Adomian decomposition method (LADM). Finally the effectiveness of our methods is demonstrated by numerical experiments.

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

Nonlinear Analysis and Differential Equations

自引率

0.00%

发文量