Open Access

Implicit Methods for Numerical Solution of Singular Initial Value Problems

Habibur Rahaman

Habibur Rahaman

Department of Mathematics, Jagannath UniversityDhaka, Bangladesh
Search for this author on
Sciendo|Google Scholar
Rahaman, Habibur
, 
M. Kamrul Hasan

M. Kamrul Hasan

Department of Mathematics, Rajshahi University of Engineering and Technology (RUET)Rajshahi, Bangladesh
Search for this author on
Sciendo|Google Scholar
Kamrul Hasan, M.
, 
Ayub Ali

Ayub Ali

Department of Mathematics, Jagannath UniversityDhaka, Bangladesh
Search for this author on
Sciendo|Google Scholar
Ali, Ayub
 and 
M. Shamsul Alam

M. Shamsul Alam

Department of Mathematics, Rajshahi University of Engineering and Technology (RUET)Rajshahi, Bangladesh
Search for this author on
Sciendo|Google Scholar
Shamsul Alam, M.
  
Apr 15, 2020
Implicit Methods for Numerical Solution of Singular Initial Value Problems's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Apr 15, 2020
Page range: 1 - 8
Received: Aug 24, 2019
Accepted: Dec 25, 2019
DOI: https://doi.org/10.2478/amns.2020.2.00001
Keywords
© 2020 Md. Habibur Rahaman et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Various order of implicit method has been formulated for solving initial value problems having an initial singular point. The method provides better result than those obtained by used implicit formulae developed based on Euler and Runge-Kutta methods. Romberg scheme has been used for obtaining more accurate result.

Language:
English
Publication timeframe:
1 times per year
Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
Journal RSS Feed