Results 31 to 40 of about 5,852 (300)
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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Journal of King Saud University: Engineering Sciences, 2009 The author (1992) developed a spline collocation method that was successfully applied to continuous systems described by differential equations. It is based on selecting the spline point such that the second derivative of the independent variable is zero
Moustafa A. Soliman
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Mathematics, 2020 In this article, the nonlinear heat equilibrium problems are solved by the local multiquadric (MQ) radial basis function (RBF) collocation method.
Weichung Yeih
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Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes
Abstract and Applied Analysis, 2014 A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems.
Ghulam Mustafa, Syeda Tehmina Ejaz
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A point collocation approach to modelling large dissipative silencers [PDF]
, 2005 A numerical matching technique known as point collocation is used to model mathematically large dissipative splitter silencers of a type commonly found in HVAC ducts. Transmission loss predictions obtained using point collocation are compared with exact
Lawrie, JB, Kirby, R
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Finite line method for solving high-order partial differential equations in science and engineering
Partial Differential Equations in Applied Mathematics, 2023 In this paper, a completely new numerical method, named Finite Line Method (FLM), is proposed for solving general linear and non-linear high-order partial differential equations (PDEs) in science as well as engineering problems in heat conduction and ...
Xiao-Wei Gao, Yu-Mo Zhu, Tao Pan
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Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations
Abstract and Applied Analysis, 2014 A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations in two space variables.
B. A. Jacobs, C. Harley
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Solving Multi-Point Boundary Value Problems Using Sinc-Derivative Interpolation
Mathematics, 2020 In this paper, the Sinc-derivative collocation method is used to solve linear and nonlinear multi-point boundary value problems. This is done by interpolating the first derivative of the unknown variable via Sinc numerical methods and obtaining the ...
Kenzu Abdella, Jeet Trivedi
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PLoS ONE, 2021 The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose.
Sidra Saleem +2 more
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A TPS-based numerical method for simulating the non-linear diffusion logistic population model
Frontiers in PhysicsThe Fisher–Kolmogorov–Petrovsky–Piskunov equation is a diffusive logistic model for the population density of an invasive species. This paper presents a one-level numerical simulation of the non-linear diffusion logistic population model using the thin ...
Yingjie Mei, Fuzhang Wang, Enran Hou
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