The Controlled Picard Method with Simpson Rule Applied to the Fractional Version of a BVP Arising in Structural Engineering

Posted: 7 Nov 2018

See all articles by Vedat Suat Erturk

Vedat Suat Erturk

Ondokuz Mayis University

Shaher Momani

University of Jordan

Date Written: July 2018

Abstract

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.

Suggested Citation

Suat Erturk, Vedat and Momani, Shaher, The Controlled Picard Method with Simpson Rule Applied to the Fractional Version of a BVP Arising in Structural Engineering (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3280190

Vedat Suat Erturk (Contact Author)

Ondokuz Mayis University ( email )

19 Mayıs Üniversitesi
Kurupelit, Samsun 55139
Turkey

Shaher Momani

University of Jordan ( email )

Jordan
Amman, Amman 11942
Jordan

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