Results 11 to 20 of about 821 (111)
Journal of Applied Mathematics, 2014 By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type ...
Ruifeng Wu, Huilai Li, Tieru Wu
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On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
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Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We propose a new approach for solving nonlinear Klein–Gordon and sine-Gordon equations based on radial basis function-pseudospectralmethod (RBF-PS). The proposed numerical method is based on quasiinterpolation of radial basis function differentiation ...
M. Emamjomeh, S. Abbasbandy, D. Rostamy
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, the radial basis function (RBF) collocation method is applied to solve nonlinear partial differential equations (PDEs). First, the given equation is reduced to time‐discrete form using Ө‐weighted scheme. Then, with the help of RBFs, the given PDEs are transformed into a system of algebraic equations that is easy to solve.
Rahman Ullah +6 more
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The Conical Radial Basis Function for Partial Differential Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The performance of the parameter‐free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi‐uniformly in the physical domain of the boundary ...
J. Zhang +3 more
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A Direct Meshless Method for Solving Two‐Dimensional Second‐Order Hyperbolic Telegraph Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two‐dimensional second‐order hyperbolic telegraph equations. Since these hyperbolic telegraph equations are time dependent, we present two schemes for the basis functions from radial and nonradial aspects.
Fuzhang Wang, Enran Hou, Imtiaz Ahmad
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]
, 2005 In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck +9 more
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Quantification of airfoil geometry-induced aerodynamic uncertainties - comparison of approaches [PDF]
, 2016 Uncertainty quantification in aerodynamic simulations calls for efficient numerical methods since it is computationally expensive, especially for the uncertainties caused by random geometry variations which involve a large number of variables. This paper
Litvinenko, Alexander +3 more
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Adaptive meshless centres and RBF stencils for Poisson equation [PDF]
, 2011 We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Babuska +40 more
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Partition of unity interpolation using stable kernel-based techniques [PDF]
, 2016 In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets.
Cavoretto, R. +4 more
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