On the Convergence Problem of One-Dimensional Hypersingular Integral Equations

Suzan J. Obaiys

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

We develop the expansion method of singular integral equation (SIE) for hypersingular integral equation (HSIE). Relating the hypersingular integrals to Cauchy principal-value integrals, we interpolate the kernel and the density functions to the truncated Chebyshev series of the second kind. The corresponding convergence results for the functions and , , are derived in an appropriate norm to the true solution of the weight function. Numerical examples are also presented to validate the theoretical findings.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:974751

DOI: 10.1155/2013/974751

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