Programming codes of block-Milne's device for solving fourth-order ODEs
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Block-Milne’s device is an extension of block-predictor-corrector method and
specifically developed to design a worthy step size, resolve the convergence
criteria and maximize error. In this study, programming codes of block-
Milne’s device (P-CB-MD) for solving fourth order ODEs are considered.
Collocation and interpolation with power series as the basic solution are
used to devise P-CB-MD. Analysing the P-CB-MD will give rise to the principal
local truncation error (PLTE) after determining the order. The P-CB-MD for
solving fourth order ODEs is written using Mathematica which can be utilized
to evaluate and produce the mathematical results. The P-CB-MD is very
useful to demonstrate speed, efficiency and accuracy compare to manual
computation applied. Some selected problems were solved and compared
with existing methods. This was made realizable with the support of the
named computational benefits
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QA Mathematics