Thanh Tran-Cong

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This paper presents mesh-free procedures for solving linear differential equations (ODEs and elliptic PDEs) based on multiquadric (MQ) radial basis function networks (RBFNs). Based on our study of approximation of function and its derivatives using RBFNs that was reported in an earlier paper (Mai-Duy, N. & Tran-Cong, T. (1999). Approximation of function and(More)
In this paper, compact local integrated radial basis function (RBF) stencils (Mai-Duy and Tran-Cong, 2011) are incorporated into the finite-volume formulation for the discretisation of second-order differential problems. The unknown field variable and its derivatives are approximated using compact integrated RBFs defined on local regions that cover the(More)
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