Title of article :
NUMERICAL TREATMENT OF NEWELL-WHITEHEAD-SEGEL EQUATION
Author/Authors :
GUPTA, S Department of Mathematics - GLA University - Mathura, India , GOYAL, M Department of Mathematics - GLA University - Mathura, India , PRAKASH, A Department of Mathematics - National Institute of Technology - Kurukshetra, India
Abstract :
In this paper, a comparative study of recently developed numerical methods in solving nonlinear Newell-–Whitehead—Segel equations is carried out. Results
computed using Variational iteration method (VIM) are compared with Adomian decomposition method (ADM), iterative method and the exact results. The numerical
results obtained by VIM are discussed with the help of different figures and tables. The
plotted graph and numerical results show accuracy and efficiency of this method in solving nonlinear equations.
Keywords :
Variational iteration method , Newell-–Whitehead-–Segel equation , He’s polynomials , Lagrange’s multiplier
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
