... extreme learning machine (Ch-ELM) method. Design/methodology/approach The network used in the proposed method is a single hidden layer feedforward neural network. The Kronecker product of two Chebyshev polynomials is used as basis function. The weights from the input layer to the hidden layer...

...Wu Qin; Hui Yin; D.J. Yu; Wen-Bin Shangguan Purpose This paper aims to develop an efficient numerical method for mid-frequency analysis of built-up structures with large convex uncertainties. Design/methodology/approach Based on the Chebyshev polynomial approximation technique, a Chebyshev...

... In this study, the considered two-dimensional unsteady advection-diffusion equations are transformed into the equivalent partial integro-differential equations via integrating from the considered unsteady advection-diffusion equation. After this stage, by using Chebyshev polynomials of the first kind...

..., the zeros of Chebyshev polynomials with the highest allowable order will be used as sampling candidates to improve the stability and accuracy of the high-order polynomial model. In the second step, some initial sampling points will be selected from the candidates by using a coordinate alternation algorithm...