Solution of linear and nonlinear parabolic equations by the decomposition method

摘要

Adomian decomposition method (ADM) has been applied to solve many differential equations. In this paper, we have used the ADM to solve linear and nonlinear parabolic equation with variable parameters depends on time and space. The ADM does not need linearization or weak nonlinearity assumptions. The results obtained indicate that the ADM is efficient and accurate.