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Solution of damped generalized regularized long-wave equation using a modified homotopy analysis method

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Abstract

A modified algorithm for homotopy analysis method (MHAM) is presented for the solution of nonlinear damped generalized regularized long-wave equation. The modified algorithm has less computational cost than standard HAM and also overcomes the difficulty in calculating complicated integrals. The MHAM is applied on different cases of the damped generalized regularized long-wave equation subject to suitable initial conditions. The numerical results show that the approximate solutions are in good agreement with the exact solutions.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Ghazala Akram & Maasoomah Sadaf

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  1. Ghazala Akram
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  2. Maasoomah Sadaf
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Correspondence to Ghazala Akram.

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Akram, G., Sadaf, M. Solution of damped generalized regularized long-wave equation using a modified homotopy analysis method. Indian J Phys 92, 191–196 (2018). https://doi.org/10.1007/s12648-017-1096-x

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  • DOI: https://doi.org/10.1007/s12648-017-1096-x

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