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Application of 2D-BPFs to nonlinear integral equations
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Mar2010, Vol. 15 Issue 3, p527-535. 9p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this study, an efficient method is presented for solving nonlinear two-dimensional Volterra integral equations (VIEs). Using piecewise constant two-dimensional block-pulse functions (2D-BPFs) and their operational matrix of integration, two-dimensional first kind integral equations reduce to a lower triangular system. The rate of convergence and error analysis are given and numerical examples illustrate efficiency and accuracy of the proposed method. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 15
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 44471224
- Full Text :
- https://doi.org/10.1016/j.cnsns.2009.04.011