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Home  >  Volume 28. No.2 (Nov. 2014)

18. Explicit Runge-Kutta Type Method for Direct Solution of Linear Third Order Boundary Value Problems by Zamurat A. Adegboye, Okeowo G.F and Isiyaku Aliyu - Volume28, No. 2, (November, 2014), pp 121 – 128
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An illustration of how first order ordinary differential equations (ODEs) Runge method can be modified for a third order stage Runge-Kutta Method was modified for direct of linear third order Boundary Value Problems(BVPs) Through this process a first order Initial Value Problems numerical method can be extended to the case in which linear third order BVPs, as well as linear second order BVPs can be calculated. The method is of order four and consistent. Numerical experiment to illustrate its efficiency and the method can be extended to solve  higher order equations. The scheme is simple to implement and converges better with the exact  solution.  Keywords:First order ODEs, The sixth Second and third order ODEs.