Results 31 to 40 of about 854,539 (114)
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We present finite difference schemes for Burgers equation and Burgers‐Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers‐Fisher equation is proposed using the solitary wave solution. Then nonstandard finite difference schemes are constructed to solve two equations.
Lei Zhang +3 more
wiley +1 more source
MQ Quasi-Interpolation Operators: Adaptive Construction and Rigorous Approximation Bound Estimations
MathematicsThis 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
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 +4 more
wiley +1 more source
Shape preserving fractal multiquadric quasi-interpolation
Computational and Applied MathematicsAbstractIn 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 +2 more
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Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper describes a radial basis function collocation method that uses limited‐memory Broyden–Fletcher–Goldfarb–Shanno optimization to solve one‐dimensional ordinary differential initial value problems. Numerical tests include first‐order problems and manufactured fourth‐, sixth‐, and eighth‐order problems.
Nolf Shaker Al-Shimari +1 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 +3 more
wiley +1 more source
Radial basis function based meshless methods for fluid flow problems
, 2006 This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation ...
Chinchapatnam, Phani P.
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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
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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 +2 more
wiley +1 more source