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Numerical Solution for a System of Fractional Differential Equations with Applications in Fluid Dynamics and Chemical Engineering

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Published/Copyright: August 5, 2017

Abstract

In this paper, a Haar wavelets based numerical method to solve a system of linear or nonlinear fractional differential equations has been proposed. Numerous nontrivial test examples along with practical problems from fluid dynamics and chemical engineering have been considered to illustrate applicability of the proposed method. We have derived a theoretical error bound which plays a crucial role whenever the exact solution of the system is not known and also it guarantees the convergence of approximate solution to exact solution.

JEL Classification: 26A33; 34A30; 34A34; 42C40; 65L05; 65L70

Acknowledgement

The authors thankfully acknowledge the anonymous reviewers for their insightful comments and valuable suggestions that helped us to present the paper in a much stronger form.

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Published Online: 2017-8-5

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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