求解奇异三阶边值问题的一个算法

Abstract

Abstract:

The singular third-order boundary value problem arises in the study of draining and coating flows. Based on the reproducing kernel space, a new algorithm is suggested in this paper to solve such problems. Representation of the exact solution is given in the form of series in the reproducing kernel space W₂⁴[0,1]. Some examples are displayed to demonstrate the validity and applicability of the proposed method.

Key words: Exact solution, Singular third-order boundary-value problem, Reproducing kernel space

CLC Number:

34B05

LV Xue-Qin, CUI Ming-Gen. A Computational Algorithm for Solving Singular Third-order Boundary-value Problem[J].Acta mathematica scientia,Series A, 2010, 30(2): 320-326.

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References

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A Computational Algorithm for Solving Singular Third-order Boundary-value Problem

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