A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations.
Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation can be explicitly expressed.
By incorporating such a modified wavelet approximation scheme into the conventional Galerkin method, the nonsingular property of the connection coefficients significantly reduces the computational complexity and achieves high precision in a very simple way.
Thus, one can obtain a stable, highly accurate, and efficient numerical method without calculating the connection coefficients in traditional Galerkin method for solving the nonlinear algebraic equations.
At last, numerical simulations are performed to show the efficiency of the method proposed.
American Psychological Association (APA)
Wang, Xiaomin. 2014. A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015188
Modern Language Association (MLA)
Wang, Xiaomin. A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1015188
American Medical Association (AMA)
Wang, Xiaomin. A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015188