Numerical Solution of Fractional Boundary Value Problems in Chemical Engineering using the Shooting Method

Authors

  • Fran Sérgio Lobato Faculdade de Engenharia Química, Universidade Federal de Uberlândia
  • Anamaria de Oliveira Cardoso

Abstract

This work presents a systematic approach to solving Fractional Ordinary Differential Equations (FODEs) of boundary value problems using the Shooting Method. This approach converts a boundary value problem into an initial value problem by defining sensitivity equations. The Predictor-Corrector Method with Caputo-type fractional derivative is used to integrate this system The proposed approach is evaluated considering three case studies in Chemical Engineering. The results demonstrate that the proposed approach is a good alternative to solve this class of problems. In addition, as expected, the obtained profiles were dependent on fractional order.

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Published

2023-07-09

How to Cite

Lobato, F. S., & Cardoso, A. de O. . (2023). Numerical Solution of Fractional Boundary Value Problems in Chemical Engineering using the Shooting Method. REVISTA CEREUS, 15(2), 149–165. Retrieved from https://www.ojs.unirg.edu.br/index.php/1/article/view/4158

Issue

Vol. 15 No. 2 (2023): Revista Cereus

Section

Artigos

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