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Zbl 1052.35049
Wazwaz, Abdul-Majid
The decomposition method for solving the diffusion equation subject to the specification of mass. (English)
[J] Int. J. Appl. Math. 3, No. 1, 25-33 (2000). ISSN 1311-1728

This paper deals with the linear diffusion equation with the specification of mass and with initial and boundary conditions. The author uses Adomian's decomposition method giving the solution in series form. But the canonical form of Adomian only uses the initial condition and it is not proved why the solution satisfies boundary or mass conditions. This work is not convincing.
[Yves Cherruault (Paris)]
MSC 2000:
*35C10 Series solutions of PDE
35K20 Second order parabolic equations, boundary value problems

Keywords: Adomian decomposition method

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