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Numerical Solution to Sixth Order Ordinary Differential Equation Using Three Stage Eighth Order Runge-Kutta Type Method

The present paper provides an innovative approach in developing numerical structure with minimal processing and maximum precision for sixth order ordinary differential equation satisfying underlying associated initial conditions. The algebraic order conditions for the three stage eighth order Runge-Kutta methods (RKSD8) been well designed for evaluating local and global truncated errors towards sixth order ordinary differential equation having form vvi = f (u,v,v',v''). The convergence of a numerical method is well explained and proved beneficial in evaluating norms of error and zero stability of RKSD8 with effective values of weights and nodes in the form of Butcher tableau.