Discrete Adomian Decomposition Method for Fuzzy Convection-Diusion Equation
Amir Fallahzadeh *
Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box 13185.768, Tehran, Iran.
Mohammad Ali Fariborzi Araghi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O. Box 13185.768, Tehran, Iran.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the discrete Adomian decomposition method (DADM) is applied to obtain the approximate solution of fuzzy convection-diusion equation (FCDE). The numerical results are compared with the exact solution. It is shown that this method is accurate and eective for FCDE. Also, the analytical-approximate solution of this equation by Adomian decomposition method (ADM) is oered.
Keywords: Discrete Adomian decomposition method, Fuzzy dierential equation, convection-diusion equation, analytical-approximate methods