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|Title:||Integration technique for evaluating confluent hypergeometric functions and its application to functionally graded materials|
|Authors:||Liu, G.R. |
|Source:||Liu, G.R., Han, X., Lam, K.Y. (2001-04). Integration technique for evaluating confluent hypergeometric functions and its application to functionally graded materials. Computers and Structures 79 (10) : 1039-1047. ScholarBank@NUS Repository. https://doi.org/10.1016/S0045-7949(00)00197-8|
|Abstract:||A novel numerical integral technique is proposed for evaluating confluent hypergeometric functions (CHFs), which arise from a wave propagation problem in functionally graded material (FGM). In the present method, a part of the integrand in the integral representation of the CHFs is approximated by piecewise polynomials, so that the integral can be carried out analytically in each sub-region. Using this method, the singularity of the integrand can also be dealt with easily. An error-controlled algorithm is also proposed to control the integral to a desired accuracy. The present technique is validated with existing FORTRAN routines and the MATLAB package. Furthermore, the application of this technique is presented to calculate waves propagating in FGM plate.|
|Source Title:||Computers and Structures|
|Appears in Collections:||Staff Publications|
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