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B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation
Article first published online: 31 OCT 2012
DOI: 10.1002/num.21750
Copyright © 2012 Wiley Periodicals, Inc.
Issue
Numerical Methods for Partial Differential Equations
Volume 29, Issue 4, pages 1173–1191, July 2013
Additional Information
How to Cite
Mohammadi, R. (2013), B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation. Numer. Methods Partial Differential Eq., 29: 1173–1191. doi: 10.1002/num.21750
Publication History
- Issue published online: 23 APR 2013
- Article first published online: 31 OCT 2012
- Manuscript Accepted: 30 APR 2012
- Manuscript Received: 7 AUG 2011
- Abstract
- Article
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Keywords:
- cubic B-spline method;
- collocation;
- generalized Burger's-Huxley equation;
- convergence analysis;
- numerical results
Abstract
The cubic B-spline collocation scheme is implemented to find numerical solution of the generalized Burger's–Huxley equation. The scheme is based on the finite-difference formulation for time integration and cubic B-spline functions for space integration. Convergence of the scheme is discussed through standard convergence analysis. The proposed scheme is of second-order convergent. The accuracy of the proposed method is demonstrated by four test problems. The numerical results are found to be in good agreement with the exact solutions. Results are compared with other results given in literature. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013