Wavelet based iterative methods for a class of 2D-partial integro differential equations. (1st January 2018)

• Record Type: Journal Article
• Authors: Kumar, K. Harish; Vijesh, V. Antony
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 1(2018)
• Page Start: 187
• Page End: 198
• Publication Date: 2018-01-01
• Subjects: Chebyshev wavelet -- Haar wavelet -- Legendre wavelet -- Partial integro-differential equation -- Population model -- Quasilinearization; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.09.008
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, an iterative method based on quasilinearization is presented to solve a class of two dimensional partial integro differential equations that arise in nuclear reactor models and population models. Two different approaches based on Haar and Legendre wavelets are studied to develop numerical methods. In the first approach, time domain is approximated with the help of forward finite difference approach. In the second approach, both time as well as space domains are approximated by wavelets. Appropriate examples are solved using these methods and the obtained results are compared with the methods available in the recent literature.