Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method
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- Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method
- Jang, Bongsoo
- Adomian decomposition method; Non-homogeneous parabolic equation; The modified decomposition method; Two-step
- Issue Date
- ELSEVIER SCIENCE INC
- APPLIED MATHEMATICS AND COMPUTATION, v.186, no.2, pp.969 - 979
- In this paper, we propose a reliable modification of Adomian decomposition method, namely the homogeneous Adomian decomposition method (HADM), that solves one dimensional non-homogeneous parabolic equations with a variable coefficient. The effectiveness of this method is verified through illustrative examples.
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