Back to Search
Start Over
Fast multilevel augmentation methods for nonlinear boundary value problems
- Source :
-
Computers & Mathematics with Applications . Feb2011, Vol. 61 Issue 3, p612-619. 8p. - Publication Year :
- 2011
-
Abstract
- Abstract: We develop a multilevel augmentation method for solving nonlinear boundary value problems. We first describe the multilevel augmentation method for solving nonlinear operator equations of the second kind which has been proposed in our recent paper Chen et al. (2011) , and then apply it to solving the nonlinear two-point boundary value problems of second-order differential equations. The theoretical analysis of convergence order and computational complexity are proposed. Finally numerical experiments are presented to confirm the theoretical estimates and illustrate the efficiency of the method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 61
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 57547071
- Full Text :
- https://doi.org/10.1016/j.camwa.2010.12.007