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On the Error Analysis of a Continuous Implicit Hybrid One Step Method

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
It is a known fact that in the application of a continuous linear multistep method, the global error at a particular point is in uenced by the accumulation of local truncation errors at each step from the initial point and thereby reduces the accuracy of the approximated result. Hence, by controlling the growth of local errors it is expected that the accuracy of the approximations should improve. In this paper therefore, a method is derived for the bound on the local truncation error of continuous implicit hybrid one step method for the solution of initial value problems of second order ordinary di erential equations by means of the generalized Lagrange form of the Taylor's remainder and the mean value theorem.
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REFERENCES

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