TY - JOUR ID - 990 TI - A Comparison Between Fourier Transform Adomian Decomposition Method and Homotopy Perturbation Method for Linear and Non-Linear Newell-Whitehead-Segel Equations JO - AUT Journal of Modeling and Simulation JA - MISCJ LA - en SN - 2588-2953 AU - Nourazar, S. S. AU - Parsa, H. AU - Sanjari, A. AD - Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran Y1 - 2017 PY - 2017 VL - 49 IS - 2 SP - 227 EP - 238 KW - Fourier Transform and Adomian KW - Decomposition Method KW - Homotopy Perturbation Method KW - Newell–Whitehead-Segel Equation KW - Nonlinear Partial Differential KW - Equation DO - 10.22060/miscj.2017.12051.4998 N2 - In this paper, a comparison among the hybrid of Fourier Transform and AdomianDecomposition Method (FTADM) and Homotopy Perturbation Method (HPM) is investigated.The linear and non-linear Newell-Whitehead-Segel (NWS) equations are solved and the results arecompared with the exact solution. The comparison reveals that for the same number of componentsof recursive sequences, the error of FTADM is much smaller than that of HPM. For the non-linearNWS equation, the accuracy of FTADM is more pronounced than HPM. Moreover, it is shown thatas time increases, the results of FTADM, for the linear NWS equation, converges to zero. And for thenon-linear NWS equation, the results of FTADM converges to 1 with only six recursive components.This is in agreement with the basic physical concept of NWS diffusion equation which is in turn inagreement with the exact solution. UR - https://miscj.aut.ac.ir/article_990.html L1 - https://miscj.aut.ac.ir/article_990_904b8331d108cdb9ea1cc3cdaaec53af.pdf ER -