Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420796 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
Tension spline method is proposed for the non-linear Fisher equation with initial-boundary values. The three time-level implicit method based on the non-polynomial cubic tension spline is developed for the solution of the non-linear reaction-diffusion equation. The method involves the parameters and its order can be increased from O(k2+k2h2+h2) to O(k2+k2h2+h4) by an appropriate choice of the parameters. The stability of proposed method is analyzed. Finally, numerical results are presented to demonstrate the accuracy and efficiency of this method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Masomeh Aghamohamadi, Jalil Rashidinia, Reza Ezzati,