Results 41 to 50 of about 821 (111)

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

Anisotropic Radial Basis Function Methods for Continental Size Ice Sheet Simulations

, 2017
In this paper we develop and implement anisotropic radial basis function methods for simulating the dynamics of ice sheets and glaciers. We test the methods on two problems: the well-known benchmark ISMIP-HOM B that corresponds to a glacier size ice and ...
Cheng, Gong, Shcherbakov, Victor
core   +1 more source

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

A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels

, 2018
Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E, Ling, Leevan, Mishra, Pankaj K, Sen, Mrinal K   +3 more
core   +1 more source

Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations [PDF]

, 2013
This paper deals with free vibration problems of functionally graded shells. The analysis is performed by radial basis functions collocation, according to a higher-order shear deformation theory that accounts for through-the-thickness deformation.
A.J.M. Ferreira, A.M.A. Neves, Bever, Birman, C.M.C. Roque, C.M.M. Soares, Carrera, Carrera, Carrera, Carrera, Chapelle, Chen, Dai, E. Carrera, Ferrante, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Flügge, Hon, Hon, Huang, Kansa, Koizumi, Kröplin, Liew, Liu, Liu, Liu, Liu, M. Cinefra, Miyamoto, Neves, Neves, Nguyen, Pradyumna, R.M.N. Jorge, Reddy, Rodrigues, Scordelis, Soave, Wang, Wang, Xiang, Xiang, Yang, Yin, Zhong   +54 more
core   +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

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

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

Radial Basis Functions collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami's zig-zag theory [PDF]

, 2011
In this paper, we propose to use the Murakami's zig-zag theory for the static and vibration analysis of laminated plates, by local collocation with radial basis functions in a finite differences framework.
A.J.M. Ferreira, Akhras, Altenbach, Brischetto, Burton, C.M.C. Roque, Carrera, Carrera, Carrera, Carrera, Carrera, Carrera, Chen, Dai, Demasi, Demasi, E. Carrera, Ferreira, Ferreira, Ferreira, Ferreira, Ferreira, Hardy, Hon, Hon, Huang, Kansa, Khdeir, Kirchhoff, Librescu, Liew, Liew, Liew, Liu, Liu, Liu, Liu, Liu, Liu, M. Cinefra, Mindlin, Murakami, Nguyen-Thoi, Nguyen-Thoi, Nguyen-Xuan, Nguyen-Xuan, Noor, O. Polit, Pagano, Reddy, Reddy, Reddy, Reissner, Vinson, Vinson, Wang, Wang, Wen, Wendland, Xiang, Xiang, Zenkert   +61 more
core   +1 more source