✦ LIBER ✦

Numerical solution of integral equations with logarithmic-, Cauchy- and Hadamard-type singularities

✍ Scribed by H. Kabir; E. Madenci; A. Ortega

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 150 KB
Volume: 41
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19980228)41:4<617::aid-nme301>3.0.co;2-k

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✦ Synopsis

This study presents an extension of the piecewise quadratic polynomial technique to solve singular integral equations with logarithmic-and Hadamard-type singularities. For completeness and continuity, the evaluation of the weights for logarithmic-, Cauchy-and Hadamard-type singularities are given explicitly. Numerical results concerning logarithmic-and Hadamard-type singular integral equations are compared with the known solutions. The solution of Cauchy-type singular integral equations was discussed in detail in a previous study by Miller and Keer.

📜 SIMILAR VOLUMES

Singular integral equations of the secon

Singular integral equations of the second kind with generalized Cauchy-type kernels and variable coefficients

✍ M. P. Savruk; E. Madenci; S. Shkarayev 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB

A numerical solution method is presented for singular integral equations of the second kind with a generalized Cauchy kernel and variable coe$cients. The solution is constructed in the form of a product of regular and weight functions. The weight function possesses complex singularities at the ends