Results 21 to 30 of about 111 (103)

Symplectic multiquadric quasi-interpolation approximations of KdV equation

Filomat, 2018
Radial basis functions quasi-interpolation is very useful tool for the numerical solution of differential equations, since it possesses shape-preserving and high-order approximation properties. Based on multiquadric quasi-interpolations, this study suggests a meshless symplectic procedure for KdV equation.
Zhang, Shengliang, Zhang, Liping
openaire   +3 more sources

Sample Data Synchronization and Harmonic Analysis Algorithm Based on Radial Basis Function Interpolation

Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014
The spectral leakage has a harmful effect on the accuracy of harmonic analysis for asynchronous sampling. This paper proposed a time quasi‐synchronous sampling algorithm which is based on radial basis function (RBF) interpolation. Firstly, a fundamental period is evaluated by a zero‐crossing technique with fourth‐order Newton’s interpolation, and then,
Huaiqing Zhang, Yu Chen, Zhihong Fu, Ran Liu, Jun-Juh Yan   +4 more
wiley   +1 more source

A Meshfree Method for Numerical Solution of Nonhomogeneous Time‐Dependent Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We propose a new numerical meshfree scheme to solve time‐dependent problems with variable coefficient governed by telegraph and wave equations which are more suitable than ordinary diffusion equations in modelling reaction diffusion for such branches of sciences.
Ziwu Jiang, Lingde Su, Tongsong Jiang, Ali H. Bhrawy   +3 more
wiley   +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

Solution of Boundary Value Obstacle Problems Using MQ‐RBF and IMQ‐RBF

Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013
A kind of numerical method which is based on multiquadric RBF, inverse multiquadric RBF, and Wu‐Schaback operators is presented for solving second‐order and third‐order boundary value problems associated with obstacle, unilateral, and contact problems. The algorithms are proved to be highly accurate and easy to implement.
Feng Gao, Chunmei Chi, Manyu Xiao
wiley   +1 more source

Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

Mathematical Problems in Engineering, Volume 2009, Issue 1, 2009., 2009
This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines. It applies piecewise cubic algebraic curves to give a global G2 continuity approximation to planar parametric curves. Approximation error on approximate implicitization of rational curves is given.
Xiaolei Zhang, Jinming Wu, Alexander P. Seyranian   +2 more
wiley   +1 more source

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

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,
Kumar, D., Chand, A. K. B., Massopust, P. R.   +2 more
openaire   +2 more sources

A Brief Survey of Spherical Interpolation and Approximation Methods for Texture Analysis

Texture, Stress, and Microstructure, Volume 25, Issue 2-4, Page 159-169, 1996., 1996
In texture analysis there are several instances when mathematical methods of spherical interpolation or approximation are required. Ad hoc adaptions of univariate or bivariate methods to the topology of spherical manifolds usually fail in one way or another. Therefore, this contribution will provide a brief survey of genuinely spherical methods.
H. Schaeben
wiley   +1 more source

Numerical Solution of the Nonlinear Klein-Gordon Equation Using Multiquadric Quasi-interpolation Scheme [PDF]

Universal Journal of Applied Mathematics, 2015
This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric
M. Sarboland, A. Aminataei
openaire   +1 more source