Article
Implicit Methods for Numerical Solution of Singular Initial Value Problems
Authors
, , and
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.
Keywords
Singular Integrals, Romberg scheme, Singular initial value problems, Implicit Runge-Kutta method, 35F10, 35F25, 35G10, 35G25
Citation
Rahaman, H., Kamrul Hasan, M., Ali, A., & Shamsul Alam, M. (2020). Implicit methods for numerical solution of singular initial value problems. Applied Mathematics and Nonlinear Sciences, 5(2), 1–8. https://doi.org/10.2478/amns.2020.2.00001
H. Rahaman, M. Kamrul Hasan, A. Ali and M. Shamsul Alam, “Implicit methods for numerical solution of singular initial value problems,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 1–8, 2020, doi: 10.2478/amns.2020.2.00001.
Rahaman H, Kamrul Hasan M, Ali A, Shamsul Alam M. Implicit methods for numerical solution of singular initial value problems. Applied Mathematics and Nonlinear Sciences. 2020;5(2):1–8. doi:10.2478/amns.2020.2.00001.
Rahaman, H., Kamrul Hasan, M., Ali, A. and Shamsul Alam, M. (2020), ‘Implicit methods for numerical solution of singular initial value problems’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 1–8. Available at: https://doi.org/10.2478/amns.2020.2.00001.
Rahaman, Habibur, et al. “Implicit Methods for Numerical Solution of Singular Initial Value Problems.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 1–8. https://doi.org/10.2478/amns.2020.2.00001.
Rahaman, Habibur, M. Kamrul Hasan, Ayub Ali, and M. Shamsul Alam. “Implicit Methods for Numerical Solution of Singular Initial Value Problems.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 1–8. https://doi.org/10.2478/amns.2020.2.00001.
Export citation
Published by: Engineering Journals
