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The point collocation method with a local maximum entropy approach [PDF]
Computers & Structures, 2018 Abstract Meshless methods have long been a topic of interest in computational modelling in solid mechanics and are broadly divided into weak and strong form-based approaches. The need for numerical integration in the former remains a challenge often met by using a background mesh or complex stabilised nodal approaches.
Fan, L., Coombs, W.M., Augarde, C.E.
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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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CoRR, 2023 Sinc-collocation methods are known to be efficient for Fredholm integral equations of the second kind, even if functions in the equations have endpoint singularity. However, existing methods have the disadvantage of inconsistent collocation points. This inconsistency complicates the implementation of such methods, particularly for large-scale problems.
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H-adaptive Element-Free Trefftz Method
Computer Assisted Methods in Engineering and Science, 2023 The Element-Free Trefftz method can solve the problem only by taking the collocation points on the boundary when the domain under consideration is governed by the linear and homogeneous differentia equation.
Eisuke Kita +2 more
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Arab Journal of Basic and Applied Sciences, 2021 In this paper, a numerical algorithm is developed for the solution of second order linear and nonlinear integro-differential equations. The Haar collocation technique is applied to second order linear and nonlinear integro-differential equations. In Haar
Rohul Amin +4 more
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Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method
International Journal of Mathematical, Engineering and Management Sciences, 2022 The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation.
Ratesh Kumar, Sonia Arora
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Axioms, 2022 The primary focus of this research study is in the development of an effective hybrid matrix method to solve a class of nonlinear systems of equations of fractional order arising in the modeling of autocatalytic chemical reaction problems. The fractional
Mohammad Izadi, Hari Mohan Srivastava
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Journal of King Saud University: Engineering Sciences, 2005 A new moving collocation method is introduced for solving the problem of time-dependent heat conduction with source term in one dimension. The method is based on dividing the solution domain into active and inactive zones. The numerical results show that
M.A. Soliman, K.I. Al-Humaizi
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Entropy, 2022 This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables.
Ahmad Golbabai +2 more
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An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
Journal of Applied Mathematics, 2014 The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations.
Lee Ken Yap +2 more
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