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A new modification of the Adomian decomposition method for linear and nonlinear operators. (English) Zbl 1027.35008

Summary: We present an efficient modification of the Adomian decomposition method that will facilitate the calculations. We then conduct a comparative study between the new modification and the modified decomposition method. The study is conducted through illustrative examples. The new modification introduces a promising tool for many linear and nonlinear models.

MSC:

35A25 Other special methods applied to PDEs
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