Integral transforms in convection-diffusion through convective eigenvalue problems

Abstract eng:
The Generalized Integral Transform Technique (GITT) is employed in the solution of nonlinear convection-diffusion problems by incorporating the convective effects into the chosen eigenvalue problem that forms the basis of the proposed eigenfunction expansion. The aim is to improve convergence behavior of the eigenfunction expansions, especially in the case of highly convective formulations, in comparison against the traditional approach of adopting a purely diffusive eigenvalue problem. The developed methodology is then illustrated for both linear and nonlinear, one-dimensional and multidimensional Burgers equations.

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