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The Modified Homotopy Algorithm for Dispersion Phenomena

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Abstract

The main objective of the propose analysis is to find approximate analytical solution of nonlinear partial differential equation arsing in longitudinal dispersion phenomena by means of new and reliable algorithm called the modified homotopy analysis method (MHAM). The present analysis revels that the MHAM is very efficient to handle the nonlinear partial differential equation. The convergence rate of the MHAM is very faster comparative to other standard methods due to the presence of fractional factor \(\left( \frac{1}{n}\right) ^{m}\) and the convergence parameter h. The graphical results obtained from the proposed method shows its efficiency to handle nonlinear problems.

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Author notes

  1. Kunjan Shah

    Present address: Mechanical Department, L J Institute of Engineering and Technology, Ahmedabad, India

Authors and Affiliations

  1. Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat, India

    Kunjan Shah & Twinkle Singh

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  1. Kunjan Shah
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  2. Twinkle Singh
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Correspondence to Kunjan Shah.

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Shah, K., Singh, T. The Modified Homotopy Algorithm for Dispersion Phenomena. Int. J. Appl. Comput. Math 3 (Suppl 1), 785–799 (2017). https://doi.org/10.1007/s40819-017-0382-9

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  • DOI: https://doi.org/10.1007/s40819-017-0382-9

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