This paper considers the development of an efficient Stormer-Cowell-Typed method for the direct solution of second order ordinary differential equations using the method of interpolation of the combination of Cheybeshev and Legendre polynomials approximate solution and collocatio...
Open access
Research Article10.9734/ARJOM/2018/44676
An implicit four step stormer-cowell-typed method for direct solution of general second order ordinary differential equations is proposed in this study. In the derivation of the method, a combination of chebyshev and legendre polynomials was used as basis function to generate sys...
Open access
Research Article10.9734/AJOPACS/2018/40400
In this paper, we considered method of interpolation of the approximate solution and collocation of the differential system to generate a continuous linear multistep method. The basic properties of the method was investigated and found to be zero stable, consistent, P-stable and...
Open access
Research Article10.9734/AJOPACS/2018/41034
Our focus in this article is the derivation; analysis and implementation of a new modified implicit hybrid block method for the direct solution of initial value problems of fourth order ordinary differential equations. In the derivation of the method, we adopted the approach of c...
Open access
Research Article10.9734/JSRR/2014/11953