Analytical Shooting for Solving Fractional Order Boundary Value Problems
DOI:
https://doi.org/10.62054/ijdm/0303.17Abstract
In order to tackle the boundary value problem of fractional order, this study devised a semi-analytical shooting technique. In order to express the answer as a series, the Adomian decomposition approach was incorporated into the shooting methodology. Additionally, new shooting slopes with a better rate of convergence were presented for boundary value problems of higher order, along with the technique for deriving the extra equations that correspond to them. The accuracy of the developed approach was demonstrated through four numerical illustrations; absolute errors, relative errors, and mean deviations of the errors were calculated for all the illustrations. For every set of challenges, the tolerance value—the difference between two consecutive shooting slopes—was also computed. For each of the four issues under consideration, the computed tolerance values likewise showed a decrease as shooting slopes increased. This is an additional measure that supports the effectiveness of the shooting strategy.
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