<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Implicit Methods for Numerical Solution of Singular Initial Value Problems

Rajshahi University of Engineering and Technology (RUET)

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Implicit Methods for Numerical Solution of Singular Initial Value Problems"}

Various order of implicit method has been formulated for solving initial value problems having an initial singular point. The method provides better result...

Implicit Methods for Numerical Solution of Singular Initial Value Problems

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
Singular Integrals, Romberg scheme, Singular initial value problems, Implicit Runge-Kutta method

© 2020 Md. Habibur Rahaman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Implicit Methods for Numerical Solution of Singular Initial Value Problems

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

KeywordsSingular Integrals, Romberg scheme, Singular initial value problems, Implicit Runge-Kutta method

© 2020 Md. Habibur Rahaman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Singular Integrals, Romberg scheme, Singular initial value problems, Implicit Runge-Kutta method