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In this paper, we apply He's Variational iteration method (VIM) for solving nonlinear Newell-Whitehead-Segel equation. By using this method three dierent cases of Newell-Whitehead-Segel equation have been discussed. Comparison of the obtained result with exact solutions shows that the method used is an eective and highly promising method for solving dierent cases of nonlinear Newell-Whitehead-Segel equation.
Journal of Applied Analysis and Computation, 6(3), 738-748, 2016
nonlinear differential equations, Newell-Whitehead-Segel equation, variational iteration method, nonlinear dierential equations, Nonlinear parabolic equations, Newell-Whitehead-Segel equation, variational iteration method, PDEs in connection with fluid mechanics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
nonlinear differential equations, Newell-Whitehead-Segel equation, variational iteration method, nonlinear dierential equations, Nonlinear parabolic equations, Newell-Whitehead-Segel equation, variational iteration method, PDEs in connection with fluid mechanics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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