Fadugba Sunday Emmanuel

This work presents a semi-analytical technique, namely the Reduced Differential Transform Method (RDTM) for
the solution of linear and nonlinear Newell-Whitehead-Segel Equations (NWSE). The method does not require
linearization, transformation, discretization, perturbation or restrictive assumptions. To determine the accuracy
of solutions and the performance measure of RDTM, two illustrative examples were considered. The results
obtained via RDTM was compared with that of the exact solution. The results show that RDTM is very effective,
offers solutions with easily computable components as convergent series and quite accurate to systems of linear
and nonlinear equations. Hence, RDTM is a good alternative approach for the solution of partial differential
equations that overcomes the shortcoming of complex calculations of differential transform method.


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