Skip to content
Research Article Open access CC BY 4.0

An Implicit Method for Numerical Solution of System of First-Order Singular Initial Value Problems

M. Kamrul Hasan, M. Suzan Ahamed

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 24 Apr 2018

10.9734/JAMCS/2018/39745

Abstract

Recently an implicit method has been developed for solving singular initial value problems numerically which have an initial singular point. The method is simple and gives significantly better results than the implicit Euler method as well as second order implicit Runge-Kutta (RK2) method. In this article, the system of first order singular initial value problems having an initial singular point has been solved by this method.

Systems of singular initial value problems implicit Euler method implicit Runge-Kutta method.

Cited by 5

Implicit Methods for Numerical Solution of Singular Initial Value Problems

Habibur Rahaman, M. Kamrul Hasan, Ayub Ali · Applied Mathematics and Nonlinear Sciences · 2020

A numerical block hybrid algorithm for solving systems of first-order initial value problems

Nathaniel Mahwash Kamoh, Bwebum Cleofas Dang, Joshua Sunday · Afrika Matematika · 2024

Showing 2 of 5 known citations — external sources report more than can currently be individually listed.

Related research

Article metrics

Real usage data collected on this platform.

28

Page views

0

PDF downloads

3

Outbound clicks

5

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.