Collocation method applied to unsteady flow of gas through a porous medium

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this article, we study a two point boundary value problem of non linear differential equation on a semi infinitedomain that describes the unsteady flow of gas through a porous medium. Under special transform, we convert thisproblem to boundary value problem in compactly supported domain [0,1]. An algorithm provided for obtainingsolution by Legendre wavelet collocation method. This method is effectively used to determine y (t) and its initialslope at the origin. The convergence and stability analysis is provided. The results thus obtained are compared withthe those obtained from modified decomposition method [5], Variational iterational method [6], rational Chebyshevfunctions method (RCM) [7] and radial basis function (RBF) collocation method [10]. It has been observed thatthe proposed method provide better results with lesser computational complexity.

    Keywords: Convergence and stability analysis, Legendre Wavelets, Legendre wavelet collocation method, Kidder's equation.

  • References

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Article ID: 2924
DOI: 10.14419/ijamr.v3i3.2924

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