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The generalized method of lines based on the discretization technique of the pseudospectral method

✍ Scribed by Chen RuShan; Edward K. N. Yung; Ke Wu; Y. F. Han

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
108 KB
Volume
20
Category
Article
ISSN
0895-2477

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✦ Synopsis

In this paper, a no¨el semianalytical higher order numerical approach to sol¨e electromagnetic field boundary ¨alue problems is described. This pseudospectral-based method of lines is de¨eloped by combining the pseudospectral technique and the method of lines so that it not only has a high accuracy of the semianalytical technique in the line direction, but also maintains high accuracy in the discrete direction. The pseudospectral-based discretization technique, distribution of collocation nodes, global interpolation of the differential quadrature, second-order difference matrix for ¨arious homogeneous boundary conditions, and decoupling of coupled ordinary differential equations are discussed in detail. Our numerical results demonstrate that this higher order semianalytical method can efficiently sol¨e the boundary ¨alue problems with fewer mesh lines when compared to the con¨entional method of lines. It primarily shows that this method will be a competiti¨e technique to model time-harmonic complex electromagnetic problems.

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