Numerical solutions of hypersingular integrals and integral equations of the first kind
In this thesis, two problems are considered: i) An automatic quadrature scheme is presented for the evaluation of hypersingular integral of the form Qi(f; x) =Z 1¡1 wi(t)f(t)(t ¡ x)2 dt; x 2 [¡1; 1]; i = 0; 1; 2; (1) where w0(x) = 1; w1(x) = p1 ¡ x2; w2(x) = 1 p1¡x2 are the weights, and the functi...
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| 格式: | Thesis |
| 语言: | English |
| 出版: |
2013
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| 主题: | |
| 在线阅读: | http://psasir.upm.edu.my/id/eprint/41452/1/IPM%202013%205R.pdf |
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