Three Steps Block Predictor-Block Corrector Method For The Solution Of General Second Order Ordinary Differential Equations
نویسنده
چکیده
We consider three steps numerical integrator which is derived by collocation and interpolation of power series approximation solution to generate a linear multistep method which serves as the corrector. The corrector is then implemented in block method. We then propose another numerical integrator which is implemented in block method to serve as a constant order predictor to the corrector. Basic properties of the corrector viz, order, zero stability and stability interval are investigated. The new method was tested on some numerical examples and was found to give better approximation than the existing methods. Keyword: Collocation, Interpolation, approximate solution, block method, order, zero stability. AMS Subject classification: 65L05, 65L06, 65D30.
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