Solution of a Scaled System via Chebyshev Polynomials |
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Authors: | Chyi Hwang |
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Institution: | Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan 700, People''s Republic of China |
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Abstract: | A new time-domain approach to the derivation of a Chebyshev scale matrix is presented. The derived Chebyshev scale matrix, together with the Chebyshev integration matrix, is used to analyze differential equations containing terms with a scaled argument. The results are expressed in terms of Chebyshev series. As illustrated in the included examples, the Chebyshev series solution converges faster than that represented in Laguerre series. |
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