%0 Journal Article %1 noauthororeditor %A Bullo1, Tesfaye Aga %A Duressa1, Gemechis File %A Kiltu2, Gashu Gadisa %D 2021 %E Hatamlou, Abdolreza %J Advanced Computational Intelligence: An International Journal (ACII) %K Singular accurate analysis classification data initial machine network problem solution value %N 1/2/3 %P 1-11 %R 10.5121/acii.2021.8301 %T Accurate Numerical Method for Singular Initial-Value Problems %U https://aircconline.com/acii/V8N3/8321acii01.pdf %V 8 %X In this paper, an accurate numerical method is presented to find the numerical solution of the singular initial value problems. The second-order singular initial value problem under consideration is transferred into a first-order system of initial value problems, and then it can be solved by using the fifth-order Runge Kutta method. The stability and convergence analysis is studied. The effectiveness of the proposed methods is confirmed by solving three model examples, and the obtained approximate solutions are compared with the existing methods in the literature. Thus, the fifth-order Runge-Kutta method is an accurate numerical method for solving the singular initial value problems

@article{noauthororeditor, abstract = {In this paper, an accurate numerical method is presented to find the numerical solution of the singular initial value problems. The second-order singular initial value problem under consideration is transferred into a first-order system of initial value problems, and then it can be solved by using the fifth-order Runge Kutta method. The stability and convergence analysis is studied. The effectiveness of the proposed methods is confirmed by solving three model examples, and the obtained approximate solutions are compared with the existing methods in the literature. Thus, the fifth-order Runge-Kutta method is an accurate numerical method for solving the singular initial value problems}, added-at = {2022-02-25T12:35:49.000+0100}, author = {Bullo1, Tesfaye Aga and Duressa1, Gemechis File and Kiltu2, Gashu Gadisa}, biburl = {https://www.bibsonomy.org/bibtex/2099b43bd12928202839009d6ea6082d2/janakirob}, doi = {10.5121/acii.2021.8301}, editor = {Hatamlou, Abdolreza}, interhash = {1780676b22f54e8a318c167a245bade9}, intrahash = {099b43bd12928202839009d6ea6082d2}, issn = {2454 - 3934}, journal = {Advanced Computational Intelligence: An International Journal (ACII) }, keywords = {Singular accurate analysis classification data initial machine network problem solution value}, language = {English}, month = {July}, number = { 1/2/3}, pages = {1-11}, timestamp = {2022-02-25T12:35:49.000+0100}, title = { Accurate Numerical Method for Singular Initial-Value Problems }, url = {https://aircconline.com/acii/V8N3/8321acii01.pdf}, volume = 8, year = 2021 }