Please use this identifier to cite or link to this item:
https://dspace.iiti.ac.in/handle/123456789/6690
| Title: | Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems |
| Authors: | Vijesh, Antony |
| Keywords: | Boundary value problems;Differential equations;Initial value problems;Partial differential equations;Wavelet analysis;Haar wavelets;Huxley equation;Legendre waveletss;Newell-Whitehead-Segel equation;Parabolic partial differential equations;Quasi-linearization;Numerical methods |
| Issue Date: | 2015 |
| Publisher: | Elsevier Inc. |
| Citation: | Antony Vijesh, V., & Harish Kumar, K. (2015). Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems. Applied Mathematics and Computation, 266, 1163-1176. doi:10.1016/j.amc.2015.05.139 |
| Abstract: | In this paper, numerical methods based on quasilinearization and Haar and Legendre wavelets to solve a class of semi linear parabolic initial boundary value problem (SPIBVP) have been presented. The Haar and Legendre wavelet methods have been successfully combined with quasilinearization to solve SPIBVP efficiently. The presented numerical scheme has been illustrated using appropriate examples including Fisher equation and the obtained results show that the proposed numerical scheme is robust and easy to apply. © 2015 Elsevier Inc. All rights reserved. |
| URI: | https://doi.org/10.1016/j.amc.2015.05.139 https://dspace.iiti.ac.in/handle/123456789/6690 |
| ISSN: | 0096-3003 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
Altmetric Badge: