Danumjaya, P. ; Pani, Amiya K. (2005) Orthogonal cubic spline collocation method for the extended Fisher-Kolmogorov equation Journal of Computational and Applied Mathematics, 174 (1). pp. 101-117. ISSN 0377-0427
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.cam.2004.04.002
Abstract
A second-order splitting combined with orthogonal cubic spline collocation method is formulated and analysed for the extended Fisher-Kolmogorov equation. With the help of Lyapunov functional, a bound in maximum norm is derived for the semidiscrete solution. Optimal error estimates are established for the semidiscrete case. Finally, using the monomial basis functions we present the numerical results in which the integration in time is performed using RADAU 5 software library.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Extended Fisher-kolmogorov (EFK) Equation; Second-order Splitting; Orthogonal Cubic Spline Collocation Method; Lyapunov Functional; A Priori Bounds; Optimal Order of Convergence; Monomial Basis Functions; Radau 5; Gaussian Quadrature Rule |
| ID Code: | 81959 |
| Deposited On: | 09 Feb 2012 04:45 |
| Last Modified: | 09 Feb 2012 04:45 |
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