Algorithmic Rule
A step by step process that specify the implementation of MP is stated beneath as follows:
Step 1: Select the length for h
Step 2: The rank of the block predictor-bloc corrector pair must be the similar.
Step 3: The number of step for block predictor method and block corrector must not be equal.
Step 4: Select the convergency limits from the max-errors of the author’s paper.
Step 5: Write and implement the block predictor- block corrector pair in Mathematica Kernel 9.
Step 6: Combine the single step code and step 5 during the implementation.
Step 7: Execute Step 6, if Step 7 fails to converge return to step 1, if not, proceed to step 8. Utilize this
formula to generate a new length for h if necessary.
\(qh=\left|\frac{0.5\varphi_{i}}{\left({\tilde{C}}_{p+1}^{[i]}-{\overset{\overline{}}{C}}_{p+1}^{[i]}\right)}\right|^{\frac{1000}{4000}}\), for \(i=1,\ 2,\ 3\).
Step 8: Assess the max-errors when the convergency limits is achieved.
Step 9: Write out the max-errors. See [19, 20 ,21].