The Controlled Picard Method with Simpson Rule Applied to the Fractional Version of a BVP Arising in Structural Engineering
Posted: 7 Nov 2018
Date Written: July 2018
The aim of the present study is to obtain approximate solutions of the fractional counterpart of a boundary value problem that appears in structural engineering by using the controlled Picard method with Simpson rule. The fractional derivative is defined in the sense of Caputo. The efficiency and applicability of the present method are demonstrated by solving the equation for a selected value of the parameter that appears in the model. In addition, residual error computation is adopted to verify the validity of the results.
Keywords: Picard method, Caputo fractional derivative, structural engineering, boundary value problem, approximate solution.
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