This article focuses on the development of implicit hybrid method for the general solution of second order ordinary differential equations with initial values (IVPs). The method of collocation and interpolation of power series was used to derive the method, while Taylor series is...
Open access
Research Article10.9734/JAMCS/2018/40447
A continuous two-step method using trigonometric function basis is developed and used to produce two discrete methods which are simultaneously applied as numerical integrators by assembling them into a block method with trigonometric basis for solving oscillatory initial value pr...
Open access
Research Article10.9734/JAMCS/2019/43234
This paper considers the development of a 2-step four-point continuous hybrid method for the direct solution of initial value problem (IVPs) of second order ordinary differential equations using the method of interpolation of the power series approximate solution and collocation...
Open access
Research Article10.9734/BJMCS/2015/5964
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 in...
Open access
Research Article10.9734/PSIJ/2018/22219