Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method-Reference-Cited by-同舟云学术

Solving Volterra Integrodifferential Equations via Diagonally Implicit Multistep Block Method

Published:2018 Issue: Volume:2018 Page:1-10
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Baharum Nur Auni¹,Abdul Majid Zanariah¹²^ORCID,Senu Norazak¹²^ORCID

Affiliation:

1. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

2. Mathematics Department, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

Abstract

The performance of the numerical computation based on the diagonally implicit multistep block method for solving Volterra integrodifferential equations (VIDE) of the second kind has been analyzed. The numerical solutions of VIDE will be computed at two points concurrently using the proposed numerical method and executed in the predictor-corrector (PECE) mode. The strategy to obtain the numerical solution of an integral part is discussed and the stability analysis of the diagonally implicit multistep block method was investigated. Numerical results showed the competence of diagonally implicit multistep block method when solving Volterra integrodifferential equations compared to the existing methods.

Funder

Fundamental Research Grant Scheme

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2018/7392452.pdf

Reference12 articles.

1. Note on the Numerical Solution of Integro-Differential Equations

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