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• W3191071563 abstract "In this paper, reproducing kernel Hilbert space method is employed to approximate the solution and its derivative to second-order boundary-value problems associated with obstacle, unilateral, and contact problems. The analytical solution is represented in the form of a series in the reproducing kernel Hilbert space. The 𝑛-term approximation is obtained and proved to converge to the analytical solution. Moreover, the reproducing kernel Hilbert space method is modified to obtain an approximate solution for the obstacle problem, replacing second derivative by Caputo fractional derivative 𝐷𝑎𝛼,𝛼∈(1,2). A numerical example is given to demonstrate the computation efficiency of the proposed method." @default.
• W3191071563 created "2021-08-16" @default.
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• W3191071563 date "2018-01-01" @default.
• W3191071563 modified "2023-10-02" @default.
• W3191071563 title "Approximate Solutions of Second-Order Obstacle Problem of Fractional-order Using Reproducing Kernel Hilbert Space Method" @default.
• W3191071563 doi "https://doi.org/10.2139/ssrn.3285988" @default.
• W3191071563 hasPublicationYear "2018" @default.
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