Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence

Imperfect Singular Solutions of Nonlinear Equations and a Numerical Method of Proving Their Existence
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DOI：
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发表时间：
1999
期刊：
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
影响因子：
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通讯作者：
Yuichi Kanzawa;S. Oishi
Yuichi Kanzawa;S. Oishi
中科院分区：
其他
文献类型：
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作者：
Yuichi Kanzawa;S. Oishi

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本文提出了一种新的概念，即不完全奇异解，它是通过对原方程加一个适当的小扰动而变成奇异解的近似解。给出了一种数值方法，在保证精度的情况下证明了非线性方程的不完全奇异解的存在性。一些数值例子是
SUMMARY A new concept of “an imperfect singular solution” is defined as an approximate solution which becomes a singular solution by adding a suitable small perturbation to the original equations. A numerical method is presented for proving the existence of imperfect singular solutions of nonlinear equations with guaranteed accuracy. A few numerical examples are