A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation
Joint Authors
Chen, Lijuan
Li, Mingzhu
Ma, Qiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The main aim of this work is to consider a meshfree algorithm for solving Burgers’ equation with the quartic B-spline quasi-interpolation.
Quasi-interpolation is very useful in the study of approximation theory and its applications, since it can yield solutions directly without the need to solve any linear system of equations and overcome the ill-conditioning problem resulting from using the B-spline as a global interpolant.
The numerical scheme is presented, by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a low order forward difference to approximate the time derivative of the dependent variable.
Compared to other numerical methods, the main advantages of our scheme are higher accuracy and lower computational complexity.
Meanwhile, the algorithm is very simple and easy to implement and the numerical experiments show that it is feasible and valid.
American Psychological Association (APA)
Li, Mingzhu& Chen, Lijuan& Ma, Qiang. 2014. A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475921
Modern Language Association (MLA)
Li, Mingzhu…[et al.]. A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-475921
American Medical Association (AMA)
Li, Mingzhu& Chen, Lijuan& Ma, Qiang. A Meshfree Quasi-Interpolation Method for Solving Burgers’ Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475921
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475921