Multistep block method for solving Volterra integro-differential equations

• Main Authors: Mohamed, Nurul Atikah, Abdul Majid, Zanariah
• Format: Article
• Language: English
• Published: Institute for Mathematical Research, Universiti Putra Malaysia 2016
• Online Access: http://psasir.upm.edu.my/id/eprint/52356/1/3.%20Nurul%20Atikah.pdf; http://psasir.upm.edu.my/id/eprint/52356/; http://einspem.upm.edu.my/journal/fullpaper/vol10saugust/3.%20Nurul%20Atikah.pdf
• Institution: Universiti Putra Malaysia

In this paper, we use multistep block method for solving linear and non-linear Volterra integro-differential equations (VIDEs) of the second kind. The VIDEs will be solved by using the combination of multistep block method of order three and Newton-Cotes quadrature rule of suitable order. The proposed method will solve VIDEs for K (x, s) = 1 and K (x, s) ≠ 1. The stability region of the method will be given. Numerical problems are included to represent the performance of the proposed method.