N. M. Kamoh and M. C. Soomiyol
On the Efficiency of Five Step Approximation Method for the Solution of General Third Order Ordinary Differential Equations
145 - 149
2019
13
5
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10010422
https://publications.waset.org/vol/149
World Academy of Science, Engineering and Technology
In this work, a five step continuous method for the solution of third order ordinary differential equations was developed in block form using collocation and interpolation techniques of the shifted Legendre polynomial basis function. The method was found to be zerostable, consistent and convergent. The application of the method in solving third order initial value problem of ordinary differential equations revealed that the method compared favorably with existing methods.
Open Science Index 149, 2019