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A meshfree point collocation method for elliptic interface problems [PDF]
Applied Mathematical Modelling, 2023 We present a meshfree generalized finite difference method for solving Poisson's equation with a diffusion coefficient that contains jump discontinuities up to several orders of magnitude. To discretize the diffusion operator, we formulate a strong form method that uses a smearing of the discontinuity; and a conservative formulation based on locally ...
Kraus, Heinrich +3 more
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Linear Barycentric Rational Method for Two-Point Boundary Value Equations
Journal of Mathematics, 2021 Linear barycentric rational method for solving two-point boundary value equations is presented. The matrix form of the collocation method is also obtained.
Qian Ge, Xiaoping Zhang
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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On Solving Nonlinear Elasticity Problems Using a Boundary-Elements-Based Solution Method
Applied Mechanics, 2023 The attractiveness of the boundary element method—the reduction in the problem dimension by one—is lost when solving nonlinear solid mechanics problems. The point collocation method applied to strong-form differential equations is appealing because it is
Aly Rachid Korbeogo +2 more
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The collocation of measurement points in large open indoor environment [PDF]
2015 IEEE Conference on Computer Communications (INFOCOM), 2015 With the pervasion of mobile devices, crowdsourcing based received signal strength (RSS) fingerprint collection method has drawn much attention to facilitate the indoor localization since it is effective and requires no pre-deployment. However, in large open indoor environment like museums and exhibition centres, RSS measurement points cannot be ...
Kaikai Sheng +6 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Wave equation is one of the second order of the linear hyperbolic equation. Telegraph equation as a special case of wave equation has interesting point to investigate in the numerical point of view.
Aflakha Kharisa +2 more
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Space-time spectral collocation method for Allen-Cahn equation
上海师范大学学报. 自然科学版, 2023 Allen-Cahn equation is an important phase field model, which has been widely used to investigate interfacial dynamic problems. In this paper, we propose a Legendre-Gauss spectral collocation scheme for the Allen-Cahn equation by using Legendre-Gauss ...
JIA Mengshu, XIE Shanshan, JIAO Yujian
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Journal of Umm Al-Qura University for Language Sciences and Literature, 2023 The point of the study is to assess the difficulties that Al-Baha University undergraduate students face in implementing word collocation.
Mohamed EL-Siddig
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A Meshfree Collocation Scheme for Surface Differential Operators on Point Clouds
Journal of Scientific Computing, 2023 AbstractWe present a meshfree collocation scheme to discretize intrinsic surface differential operators over scalar fields on smooth curved surfaces with given normal vectors and a non-intersecting tubular neighborhood. The method is based on discretization-corrected particle strength exchange (DC-PSE), which generalizes finite difference methods to ...
Abhinav Singh +3 more
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