Results 31 to 40 of about 111 (103)

MULTIQUADRIC QUASI-INTERPOLATION METHOD FOR FRACTIONAL INTEGRAL-DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation
Summary: In this paper, Multiquadric quasi-interpolation method is used to approximate fractional integral equations and fractional differential equations. Firstly, we construct two operators for approximating the Hadamard integral-differential equation based on quasi interpolators, and verify their properties and order of convergence.
Wang, Ziqiang, Tan, Qing, Wang, Zhongqing, Cao, Junying   +3 more
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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.
Wang, Ren-Hong, Xu, Min, Fang, Qin
openaire   +1 more source

Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

Acta Mathematicae Applicatae Sinica, 1994
The authors show that the quasi-interpolation with multiquadrics on scattered points preserves convexity, linearity and monotonicity. An error bound is also obtained.
Wu, Zongmin, Schaback, Robert
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A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity

Journal of Computational and Applied Mathematics, 2009
The authors develop a multiquadric quasi-interpolation which has the properties of linear reproducing and preserving monotonicity. Moreover, its approximation error is given by a theoretic analysis and illustrates the effect by means of two examples.
Chen, Ronghua, Han, Xuli, Wu, Zongmin
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High accuracy quasi-interpolation using a new class of generalized multiquadrics

Journal of Mathematical Analysis and Applications
A new generalization of multiquadric functions $ϕ(x)=\sqrt{c^{2d}+||x||^{2d}}$, where $x\in\mathbb{R}^n$, $c\in \mathbb{R}$, $d\in \mathbb{N}$, is presented to increase the accuracy of quasi-interpolation further. With the restriction to Euclidean spaces of odd dimensionality, the generalization can be used to generate a quasi-Lagrange operator that ...
Ortmann, Mathis, Buhmann, Martin
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Applying multiquadric quasi-interpolation to solve Fokker-Planck equation

, 2023
The Fokker-Planck equation (FPE) arises in various fields in physics, chemistry, natural science. It is difficult to obtain analytical solutions, accordingly we resort to numerical methods. In this study, we present a meshfree method to solve FPE. It is based on the multiquadric quasi-interpolation (MQQI) operator LW2 and collocation technique. Here, ?-
Rahimi, Mahbubeh, Adibi, Hojatollah, Amirfakhrian, Majid   +2 more
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A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction

Journal of Computational and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Ruifeng, Wu, Tieru, Li, Huilai
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Research on surrogate model of dam numerical simulation with multiple outputs based on adaptive sampling. [PDF]

Sci Rep, 2023
Liang J, Li Z, Pan L, Khailah EY, Sun L, Lu W.   +5 more
europepmc   +1 more source

A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines

Journal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
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Using adomian’s decomposition and multiquadric quasi-interpolation methods for solving Newell–Whitehead equation

Procedia Computer Science, 2011
AbstractIn this paper, we study numerical solution of the Newell–Whitehead equation (NWE) by using Adomian’s method (ADM) and Multiquadric quasi-interpolation method. ADM has been extensively used to solve linear and nonlinear problems arising many interesting physical and engineering applications.
Ezzati, R., Shakibi, K.
openaire   +1 more source