This work considers the direct solution of general third order ordinary differential equation. The
method is derived by collocating and interpolating the approximate solution in power series. A
single hybrid three-step method is developed. Taylor series is used to generate the independent
solution at selected grid and off grid points. The order, zero stability and convergence of the
method were established. The developed method is then applied to solve some initial value
problems of third order ODEs. The numerical results of the method confirm the superiority of the
new method over the existing method.
Ogunware, B., Ogunware1*, B , Awoyemi2, D , Adoghe3, L & Olanegan2, O (2018). Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor. Afribary. Retrieved from https://afribary.com/works/numerical-treatment-of-general-third-order-ordinary-differential-equations-using-taylor-series-as-predictor
Ogunware, Bamikole Gbenga, et. al. "Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor" Afribary. Afribary, 28 Mar. 2018, https://afribary.com/works/numerical-treatment-of-general-third-order-ordinary-differential-equations-using-taylor-series-as-predictor. Accessed 23 Dec. 2024.
Ogunware, Bamikole Gbenga, B. Ogunware1* , D. Awoyemi2 , L. Adoghe3 and O. Olanegan2 . "Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor". Afribary, Afribary, 28 Mar. 2018. Web. 23 Dec. 2024. < https://afribary.com/works/numerical-treatment-of-general-third-order-ordinary-differential-equations-using-taylor-series-as-predictor >.
Ogunware, Bamikole Gbenga, B. Ogunware1* , D. Awoyemi2 , L. Adoghe3 and O. Olanegan2 . "Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor" Afribary (2018). Accessed December 23, 2024. https://afribary.com/works/numerical-treatment-of-general-third-order-ordinary-differential-equations-using-taylor-series-as-predictor