{"title":"求解Kawahara方程的小波数值格式与VIM的比较","authors":"Kamel Al-khaled","doi":"10.7546/GIQ-20-2019-79-87","DOIUrl":null,"url":null,"abstract":"This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases. MSC : 35Q53, 65M60, 65R20","PeriodicalId":53425,"journal":{"name":"Geometry, Integrability and Quantization","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation\",\"authors\":\"Kamel Al-khaled\",\"doi\":\"10.7546/GIQ-20-2019-79-87\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases. MSC : 35Q53, 65M60, 65R20\",\"PeriodicalId\":53425,\"journal\":{\"name\":\"Geometry, Integrability and Quantization\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry, Integrability and Quantization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/GIQ-20-2019-79-87\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry, Integrability and Quantization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/GIQ-20-2019-79-87","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation
This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases. MSC : 35Q53, 65M60, 65R20
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