Continuous Two-Step Block Methods for Solving Special Third Order of Ordinary Differential Equations

The development of a continuous two-step block method for solving special third order of ordinary differential equations is the focus of this paper. Collocation and interpolation of power series were used to build the approach. The fundamental properties of the novel block methods were examined and assessed. Two exemplary numerical examples were solved using the novel block-method that was developed; numerical results were compared with other existing methods in the context of exact solution.