求解超奇异积分-微分方程组的数值方法

ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI:10.1553/etna_vol58s378

M. C. De Bonis, A. Mennouni, D. Occorsio

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引用次数: 1

摘要

．本文研究了一种基于de la vall Poussin滤波插值在Chebyshev节点上求解Prandtl积分微分方程组的配积法。证明了局部连续函数在Hölder-Zygmund空间中的稳定性和收敛性。通过数值试验验证了该方法的有效性。

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A numerical method for solving systems of hypersingular integro-differential equations

. This paper is concerned with a collocation-quadrature method for solving systems of Prandtl’s integro-differential equations based on de la Vallée Poussin ﬁltered interpolation at Chebyshev nodes. We prove stability and convergence in Hölder-Zygmund spaces of locally continuous functions. Some numerical tests are presented to examine the method’s efﬁcacy.

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ETNA - Electronic Transactions on Numerical Analysis

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