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• W285720227 endingPage "110207" @default.
• W285720227 startingPage "110207" @default.
• W285720227 abstract "Based on the multiquadric trigonometric B-spline quasi-interpolant, this paper proposes a meshless scheme for some partial differential equations whose solutions are periodic with respect to the spatial variable. This scheme takes into account the periodicity of the analytic solution by using derivatives of a periodic quasi-interpolant (multiquadric trigonometric B-spline quasi-interpolant) to approximate the spatial derivatives of the equations. Thus, it overcomes the difficulties of the previous schemes based on quasi-interpolation (requiring some additional boundary conditions and yielding unwanted high-order discontinuous points at the boundaries in the spatial domain). Moreover, the scheme also overcomes the difficulty of the meshless collocation methods (i.e., yielding a notorious ill-conditioned linear system of equations for large collocation points). The numerical examples that are presented at the end of the paper show that the scheme provides excellent approximations to the analytic solutions." @default.
• W285720227 created "2016-06-24" @default.
• W285720227 creator A5024895067 @default.
• W285720227 creator A5060185042 @default.
• W285720227 date "2014-11-01" @default.
• W285720227 modified "2023-10-16" @default.
• W285720227 title "A meshless scheme for partial differential equations based on multiquadric trigonometric B-spline quasi-interpolation" @default.
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• W285720227 doi "https://doi.org/10.1088/1674-1056/23/11/110207" @default.
• W285720227 hasPublicationYear "2014" @default.
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