A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.
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Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China
Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R ChinaHenan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China
Wang, Xiaofeng
Dai, Weizhong
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Louisiana Tech Univ, Coll Engn & Sci, Math & Stat, Ruston, LA 71272 USAHenan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China
Dai, Weizhong
Guo, Shuangbing
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Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R ChinaHenan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China
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Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
Dehghan, Mehdi
Salehi, Rezvan
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Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran