Abstract:We propose an implicit multi-step method for the solution of initial value problems (IVPs) of third order ordinary differential equations (ODE) which does not require reducing the ODE to first order before solving. The development of the method is based on collocation of the differential system and interpolation of the approximate solution at selected grid points. This generates a system of equations, which are then solved using Gaussian elimination method. Three predictors, each of order 5, are also proposed … Show more
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