A group of asymmetric difference schemes to approach the Korteweg-de Vries(KdV)equation is given here.According to such schemes,the full explicit difference scheme and the fun implicit one,an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed.The scheme is linear unconditionally stable by the analysis of linearization procedure,and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Liu, Jian-Gen
Yang, Xiao-Jun
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China
China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Yang, Xiao-Jun
Feng, Yi-Ying
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China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China
China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Feng, Yi-Ying
Cui, Ping
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China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China
Qujing Normal Univ, Sch Math & Stat, Qujing 655000, Yunnan, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
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Wuhan Univ, Sch Math & Stat, Wuhan, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan, Peoples R China
Yan, Ruifang
Yang, Xiaozhong
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North China Elect Power Univ, Sch Math & Phys, Dept Informat & Computat, Beijing 102206, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan, Peoples R China
Yang, Xiaozhong
Sun, Shuzhen
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North China Elect Power Univ, Sch Math & Phys, Dept Informat & Computat, Beijing 102206, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan, Peoples R China
机构:
Department of Mathematics, Near East University, North Nicosia
Peoples’ Friendship University of Russia (RUDN University), Moscow
Institute of Mathematics and Mathematical Modeling, AlmatyDepartment of Mathematics, Near East University, North Nicosia
Ashyralyev A.
Belakroum K.
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Fréres Mentouri University, ConstantineDepartment of Mathematics, Near East University, North Nicosia
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Univ of Massachusetts, Dep of, Mathematics & Statistics,, Amherst, MA, USA, Univ of Massachusetts, Dep of Mathematics & Statistics, Amherst, MA, USAUniv of Massachusetts, Dep of, Mathematics & Statistics,, Amherst, MA, USA, Univ of Massachusetts, Dep of Mathematics & Statistics, Amherst, MA, USA