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Implicit Methods for Numerical Solution of Singular Initial Value Problems

Habibur Rahaman

Habibur Rahaman

Department of Mathematics, Jagannath UniversityDhaka, Bangladesh
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Rahaman, Habibur
, 
M. Kamrul Hasan

M. Kamrul Hasan

Department of Mathematics, Rajshahi University of Engineering and Technology (RUET)Rajshahi, Bangladesh
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Kamrul Hasan, M.
, 
Ayub Ali

Ayub Ali

Department of Mathematics, Jagannath UniversityDhaka, Bangladesh
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Ali, Ayub
 et 
M. Shamsul Alam

M. Shamsul Alam

Department of Mathematics, Rajshahi University of Engineering and Technology (RUET)Rajshahi, Bangladesh
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Shamsul Alam, M.
  
15 avr. 2020
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Publié en ligne: 15 avr. 2020
Pages: 1 - 8
Reçu: 24 août 2019
Accepté: 25 déc. 2019
DOI: https://doi.org/10.2478/amns.2020.2.00001
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© 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.

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Sciences de la vie, Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique, Physique, autres
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