3rd and 4th Week
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After completing fixed order variable step size multistep methods, I started working on variable order variable step size Adams Moulton method. This method is given in [1]. It is a predictor-corrector method. When debugging I was stuck at error estimation part, and Chris helped me a lot in resolving the issue. Though I have completed algorithm, I will be working on optimisation and possible changes to improve the performance of the method.
[1] E. Hairer, S.R Nørsett and G. Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems (Springer, New York, 1993).