25 citations · 51 across the 21 of their papers we have counts for
21 papers
Positive time fractional derivative
W Chen
In mathematical modeling of the non-squared frequency-dependent diffusions, also known as the anomalous diffusions, it is desirable to have a positive real Fourier transform for th…
Some recent advances on the RBF
W Chen
This paper aims to survey our recent work relating to the radial basis function (RBF) and its applications to numerical PDEs. We introduced the kernel RBF involving general pre-wav…
A meshless, integration-free, and boundary-only RBF technique
W. Chen, M. Tanaka
Based on the radial basis function (RBF), non-singular general solution and dual reciprocity method (DRM), this paper presents an inherently meshless, integration-free, boundary-on…
Dual reciprocity BEM and dynamic programming filter for inverse elastodynamic problems
Masataka Tanaka, W Chen
This paper presents the first coupling application of the dual reciprocity BEM (DRBEM) and dynamic programming filter to inverse elastodynamic problem. The DRBEM is the only BEM me…
A Lyapunov Formulation for Efficient Solution of the Poisson and Convection-Diffusion Equations by the Differential Quadrature Method
W. Chen, Tingxiu Zhong
Civan and Sliepcevich [1, 2] suggested that special matrix solver should be developed to further reduce the computing effort in applying the differential quadrature (DQ) method for…
Orthonormal RBF wavelet and ridgelet-like series and transforms for high-dimensional problems
W. Chen
This paper developed a systematic strategy establishing RBF on the wavelet analysis, which includes continuous and discrete RBF orthonormal wavelet transforms respectively in terms…