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|Title:||Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods|
|Authors:||Shu, C. |
|Citation:||Shu, C., Ding, H., Zhao, N. (2006-04). Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods. Computers and Mathematics with Applications 51 (8 SPEC. ISS.) : 1297-1310. ScholarBank@NUS Repository. https://doi.org/10.1016/j.camwa.2006.04.015|
|Abstract:||In this paper, two mesh-free methods, i.e., least square-based finite difference (LSFD) and radial basis function-based finite difference (RBFFD), are compared numerically in terms of their accuracy and efficiency. These two mesh-free methods are based on different approximation schemes, that is, the least square approximation and radial basis function (RBF) approximation. The two mesh-free methods exhibit very different behaviors in many ways. In this study, we examine the performance of the two methods by applying them to two example problems: Poisson equation and two-dimensional incompressible viscous lid-driven cavity flow, and some interesting findings are observed. © 2006 Elsevier Ltd.|
|Source Title:||Computers and Mathematics with Applications|
|Appears in Collections:||Staff Publications|
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