A modified boundary integral method on open arcs in the plane

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For the Dirichlet problem on open arcs in an infinite plane, a modified numerical scheme using the indirect boundary integral method is presented. We suggest a single layer potential, added by a constant, as a solution of the problem. Then the solution for the density function of the induced boundary integral equation gives the potential which satisfies all the conditions of the original problem. Approximation to the unknown density function is fulfilled by using the collocation method with the Chebyshev polynomials of the first kind. The procedure given in this work reduces the number of steps for computation of the method introduced by Atkinson and Sloan [1]. Experimental results of some examples are given to show the convergence of our method, which is the same as that of the literature [1].
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1996-06
Language
English
Article Type
Article
Keywords

LOGARITHMIC-KERNEL; NUMERICAL-SOLUTION; EQUATIONS

Citation

COMPUTERS MATHEMATICS WITH APPLICATIONS, v.31, no.11, pp.37 - 43

ISSN
0898-1221
DOI
10.1016/0898-1221(96)00059-4
URI
http://hdl.handle.net/10203/75398
Appears in Collection
MA-Journal Papers(저널논문)
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