Results 1 to 10 of about 111 (103)

Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order [PDF]

Journal of Mathematics, 2021
A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials.
Ruifeng Wu
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A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property

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
doaj   +2 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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Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators

Journal of Mathematics
In this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

Journal of Inequalities and Applications, 2023
In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
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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
doaj   +1 more source

High accuracy multiquadric quasi-interpolation

Applied Mathematical Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Zi-Wu, Wang, Ren-Hong, Zhu, Chun-Gang, Xu, Min   +3 more
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Applying multiquadric quasi-interpolation for boundary detection

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Qinjiao, Wu, Zongmin, Zhang, Shenggang   +2 more
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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