A Compact-Type CIP Method for General Korteweg-de Vries Equation
We proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de Vries equation. Several numerical examples are...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/640194 |
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| _version_ | 1849690739720585216 |
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| author | YuFeng Shi Biao XU Yan Guo |
| author_facet | YuFeng Shi Biao XU Yan Guo |
| author_sort | YuFeng Shi |
| collection | DOAJ |
| description | We proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de Vries equation. Several numerical examples are presented to confirm the high resolution of the proposed scheme. |
| format | Article |
| id | doaj-art-eeb7125496774f9fa98ac67afd192fdf |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eeb7125496774f9fa98ac67afd192fdf2025-08-20T03:21:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/640194640194A Compact-Type CIP Method for General Korteweg-de Vries EquationYuFeng Shi0Biao XU1Yan Guo2School of Electric Power Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaSchool of Mathematical Sciences, Huaibei Normal University, Huaibei, Anhui 235000, ChinaDepartment of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, ChinaWe proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de Vries equation. Several numerical examples are presented to confirm the high resolution of the proposed scheme.http://dx.doi.org/10.1155/2014/640194 |
| spellingShingle | YuFeng Shi Biao XU Yan Guo A Compact-Type CIP Method for General Korteweg-de Vries Equation Abstract and Applied Analysis |
| title | A Compact-Type CIP Method for General Korteweg-de Vries Equation |
| title_full | A Compact-Type CIP Method for General Korteweg-de Vries Equation |
| title_fullStr | A Compact-Type CIP Method for General Korteweg-de Vries Equation |
| title_full_unstemmed | A Compact-Type CIP Method for General Korteweg-de Vries Equation |
| title_short | A Compact-Type CIP Method for General Korteweg-de Vries Equation |
| title_sort | compact type cip method for general korteweg de vries equation |
| url | http://dx.doi.org/10.1155/2014/640194 |
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