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Solutions of Heat-Like and Wave-Like Equations with Variable Coefficients by Means of the Homotopy Analysis Method

  • School of Mathematical Sciences, University Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

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  • Received Date: October 24, 2007
  • Published Date: January 31, 2008
    Abstract
  • We employ the homotopy analysis method (HAM) to obtain approximate analytical solutions to the heat-like and wave-like equations. The HAM contains the auxiliary parameter h, which provides a convenient way of controlling the convergence region of series solutions. The analysis is
    accompanied by several linear and nonlinear heat-like and wave-like equations with initial boundary value problems. The results obtained prove that HAM is very effective and simple with less error than the Adomian decomposition method and the variational iteration method.
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    • References (6)
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