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- W2357960082 abstract "By Taylor expansion,this paper introduces a better class of single step schemes for solving the initial value problems of ordinary differential equations,and proves the consistency,stability and convergence of these methods.These schemes overcome the weakness of the traditional single step schemes:The new methods don′t require the partial derivatives of the function.The number of function values used in each step in the computation is also much less than the order number of the method,and the intervals of their absolute stability are larger than those of the Adams methods.Numerical results show that these methods have the better accuracy.These methods can be extended the situation of systems of equations." @default.
- W2357960082 created "2016-06-24" @default.
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- W2357960082 date "2010-01-01" @default.
- W2357960082 modified "2023-09-23" @default.
- W2357960082 title "Class of single step schemes for initial value problems of ordinary differential equations" @default.
- W2357960082 hasPublicationYear "2010" @default.
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