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LOCAL EXACT NUMERICAL METHODS FOR BOUNDARY VALUE PROBLEMS OF ODEs
MOU Zong-ze, LONG Yong-xing, PENG Dian-yun, MIAO Jing, HUANG Lin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2000, 17 (5):
565-572.
It proposes three kinds of new difference schemes(exponential type,oscillatory type and exponential-oscillatory type) based on the coefficient structural characteristic and the behaviour of solution in the ODEs.The schemes can describe excellently dependent variables with steep gradient,shear layer and/orhighly oscillations.
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