Results 1 to 10 of about 59,441 (292)
An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations [PDF]
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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Optimal-order isogeometric collocation at Galerkin superconvergent points [PDF]
Computer Methods in Applied Mechanics and Engineering, 2016 In this paper we investigate numerically the order of convergence of an isogeometric collocation method that builds upon the least-squares collocation method presented in [1] and the variational collocation method presented in [2].
Montardini, Monica +2 more
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A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation [PDF]
Scientific ReportsThis study presents an innovative numerical framework for addressing initial value problems (IVPs) in linear fractional Volterra–Fredholm integro-differential equations (FVFIDEs).
Maha M. Hamood +2 more
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Journal of Mechanical Engineering and Sciences, 2021 The collocation method is the method for the numerical solution of integral equations and partial and ordinary differential equations. The main idea of this method is to choose a number of points in the domain and a finite-dimensional space of candidate ...
Amin Ghannadiasl
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Complexity, 2021 In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function.
Hualing Wu +4 more
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Mathematics, 2022 This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa +1 more
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A meshfree point collocation method for elliptic interface problems
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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Fluids, 2022 The application of physics-informed neural networks (PINNs) to computational fluid dynamics simulations has recently attracted tremendous attention. In the simulations of PINNs, the collocation points are required to conform to the fluid–solid interface ...
Yi Huang, Zhiyu Zhang, Xing Zhang
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One-Point Spectrum Nordsieck Almost Collocation Methods
International Journal of Circuits, Systems and Signal Processing, 2020 A family of multivalue collocation methods for the numerical solution of differen- tial problems is proposed. These methods are developed in order to be suitable for the solu- tion of stiff problems, since they are highly stable and do not suffer from order reduction, as they have uniform order of convergence in the whole integration interval.
Conte Dajana +3 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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