The noisy convergence phenomena in decomposition method solutions
Journal of Computational and Applied Mathematics
Adomian's method of decomposition: critical review and examples of failure
Journal of Computational and Applied Mathematics
Application of decomposition to convection-diffusion equations
Applied Mathematics Letters
Applied Mathematics and Computation
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In this paper, the solution of Cauchy problems for the advection-diffusion equation is obtained using the decomposition method. In the case when the flow velocity is constant, an analytical solution can be derived, whilst for variable flow velocity, symbolic numerical computations need to be performed.