Results 11 to 20 of about 97 (76)

A kind of multiquadric quasi-interpolation operator satisfying any degree polynomial reproduction property to scattered data

Journal of Computational and Applied Mathematics, 2011
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Renzhong Feng
exaly   +3 more sources

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
doaj   +1 more source

A kind of Bernoulli-type quasi-interpolation operator with univariate multiquadrics [PDF]

Computational & Applied Mathematics, 2010
In this paper, a kind of Bernoulli-type operator is proposed by combining a univariate multiquadric quasi-interpolation operator with the generalized Taylor polynomial. With an assumption on the shape-preserving parameter c, the convergence rate of the new operator is derived, which indicates that it could produce the desired precision.
Wang, Ren-Hong, Xu, Min
openaire   +3 more sources

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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A kind of improved univariate multiquadric quasi-interpolation operators

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren-Hong Wang 0001, Min Xu, Qin Fang
openaire   +1 more source

Solving Diffusion Equation Using a New Multiquadric Quasi-interpolation [PDF]

Advances in Intelligent Systems Research, 2014
In this paper, a new univariate quasi-interpolation operator is presented by means of construction way with cubic Multiquadric functions. It possesses univariate cubic polynomial reproduction property, quasi convexity-preserving and shapepreserving of order 4 properties, and a higher convergence rate.
Wang Ziqiang, Cao Junying
openaire   +1 more source

Bivariate multiquadric quasi-interpolation operators of Lidstone type

AIMS Mathematics, 2023
<abstract><p>In this paper, a kind of bivariate multiquadric quasi-interpolant with the derivatives of a approximated function is studied by combining the known multiquadric quasi-interpolant with the generalized Taylor polynomials that act as the bivariate Lidstone interpolation polynomials.
openaire   +2 more sources

MQ Quasi-Interpolation Operators: Adaptive Construction and Rigorous Approximation Bound Estimations

Mathematics
This paper focuses on constructing four novel multiquadric (MQ) quasi-interpolation operators. We conduct a comprehensive analysis of the essential properties of the proposed operators and further derive rigorous optimal upper and lower bounds for the ...
Lixia Gao
doaj   +1 more source

Shape preserving fractal multiquadric quasi-interpolation

Computational and Applied Mathematics
AbstractIn this article, we construct a novel self-referential fractal multiquadric function which is symmetric about the origin. The scaling factors are suitably restricted to preserve the differentiability and the convexity of the underlying classical multiquadric function. Based on the translates of a fractal multiquadric function defined on a grid,
D. Kumar, A. K. B. Chand, Peter R. Massopust   +2 more
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A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source