Solution of linear and nonlinear parabolic equations by the decomposition method

A Soufyane, M Boulmalf - Applied Mathematics and Computation, 2005 - Elsevier
Applied Mathematics and Computation, 2005Elsevier
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.
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.
Elsevier
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