@Article{sl.2011.006.093,
AUTHOR = {T.-T. Hoang-Trieu, N. Mai-Duy, T. Tran-Cong},
TITLE = {Compact Local Stencils Employed With Integrated RBFs For Fourth-Order Differential Problems},
JOURNAL = {Structural Longevity},
VOLUME = {6},
YEAR = {2011},
NUMBER = {2},
PAGES = {93--107},
URL = {http://www.techscience.com/sl/v6n2/42848},
ISSN = {1944-6128},
ABSTRACT = {In this paper, new compact local stencils based on integrated radial
basis functions (IRBFs) for solving fourth-order ordinary differential equations
(ODEs) and partial differential equations (PDEs) are presented. The integration
constants arising from the construction of IRBFs are exploited to incorporate into
the local IRBF approximations values of the ODEs/PDEs at selected nodal points.
The proposed stencils, which lead to sparse system matrices, are numerically validated through the solution of several analytic test problems. Numerical results
indicate that their solutions converge very fast with grid refinement.},
DOI = {10.3970/sl.2011.006.093}
}