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Compact Local Stencils Employed With Integrated RBFs For Fourth-Order Differential Problems
Structural Longevity 2011, 6(2), 93-107. https://doi.org/10.3970/sl.2011.006.093
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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.Keywords
Compact local approximations, high-order ODEs, high-order PDEs, integrated radial basis functions.
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APA Style
Hoang-Trieu, T., Mai-Duy, N., Tran-Cong, T. (2011). Compact Local Stencils Employed With Integrated RBFs For Fourth-Order Differential Problems. Structural Longevity, 6(2), 93–107. https://doi.org/10.3970/sl.2011.006.093
Vancouver Style
Hoang-Trieu T, Mai-Duy N, Tran-Cong T. Compact Local Stencils Employed With Integrated RBFs For Fourth-Order Differential Problems. Structural Longevity. 2011;6(2):93–107. https://doi.org/10.3970/sl.2011.006.093
IEEE Style
T. Hoang-Trieu, N. Mai-Duy, and T. Tran-Cong, “Compact Local Stencils Employed With Integrated RBFs For Fourth-Order Differential Problems,” Structural Longevity, vol. 6, no. 2, pp. 93–107, 2011. https://doi.org/10.3970/sl.2011.006.093
Copyright © 2011 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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