# Optimized hybrid block integrator for the numerical solution of third order initial and boundary value problems

## Abstract

A hybrid method for the numerical approximation of the solution of general third order initial and boundary value problems is derived via the collocation technique. This method considers three intra-step points which are adequately selected so as to optimize the local truncation errors of the main formulas. The new method is zero-stable, consistent and convergent. Numerical examples from literature shows the efficiency of this method in terms of the global errors obtained.## References

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