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Numerical Solution of One-Dimensional Finite Solute Transport System with First Type Source Boundary Condition

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Abstract

In this article, Chebyshev collocation method is used to reduce the one-dimensional advection–dispersion equation having source/sink term with given boundary conditions and initial condition into a system of ordinary differential equations which are solved using finite difference method. The solution profile of normalized solute concentration factor for both conservative and non-conservative systems are calculated numerically which are presented through graphs for different particular cases. The salient feature of this article is the comparison of the trend of numerical solution with the existing analytical solution thereby validating our considered numerical technique.

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Acknowledgements

The authors are thankful to the revered reviewers for their suggestions towards the up-gradation of the manuscript. The present research work is carried out with the financial support provided by Department of Atomic Energy, Board of Research in Nuclear Sciences, Bhabha Atomic Research Centre, Government of India, Mumbai, India.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221 005, India

    Shubham Jaiswal & S. Das

  2. Radiation Safety Systems Division, Bhabha Atomic Research Centre, Mumbai, 400 085, India

    Manish Chopra

  3. Institute of Mathematical Sciences, University of Malaya, 50603, Kuala Lumpur, Malaysia

    S. H. Ong

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  1. Shubham Jaiswal
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  2. Manish Chopra
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  3. S. H. Ong
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  4. S. Das
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Correspondence to Shubham Jaiswal.

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Jaiswal, S., Chopra, M., Ong, S.H. et al. Numerical Solution of One-Dimensional Finite Solute Transport System with First Type Source Boundary Condition. Int. J. Appl. Comput. Math 3, 3035–3045 (2017). https://doi.org/10.1007/s40819-016-0280-6

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  • DOI: https://doi.org/10.1007/s40819-016-0280-6

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