The decomposition method for forward and backward time-dependent problems

Authors:
D. Lesnic
Affiliations:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

Citing 2
Cited 1

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A computational algebraic investigation of the decomposition method for time-dependent problems

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Numerical study of modified Adomian's method applied to Burgers equation

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Abstract

The convergence of the decomposition method as applied to time-dependent problems governed by the heat, wave and beam equations is investigated for both forward (direct) and backward (inverse) problems. It is shown that for forward problems the convergence is faster than for backward problems.