Abstract: In this paper, natural transform combined with decomposition method is applied to the Newell-Whitehead-Segel model for analytical solutions. For the purpose of illustration, examples on linear and nonlinear are considered. The results show efficiency, reliability, and simplicity of the proposed method. Hence, it is recommended for highly nonlinear differential models and systems.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
S. O. Edeki, A. Abolarinwa, P. O. Ogunniyi, "Natural Decomposition Method for Analytical Solutions of Linear and Nonlinear Newell-Whitehead-Segel Model," WSEAS Transactions on Mathematics, vol. 18, pp. 250-256, 2019, DOI:
S. O. Edeki, A. Abolarinwa, P. O. Ogunniyi. Natural Decomposition Method for Analytical Solutions of Linear and Nonlinear Newell-Whitehead-Segel Model.
WSEAS Transactions on Mathematics. 2019;18:250-256.