Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations
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In this study, a computational method referred to as Perturbation
Iteration Transform Method (PITM), which is a combination of the
conventional Laplace Transform Method (LTM) and the Perturbation
Iteration Algorithm (PIA) is applied for the solution of Newell-Whitehead-
Segel Equations (NWSEs). Three unique examples are considered and the
results obtained are compared with their exact solutions graphically. Also,
the results agree with those obtained via other semi-analytical methods viz:
New Iterative Method and Adomian Decomposition Method. This present
method proves to be very efficient and reliable. Mathematica 10 is used for
all the computations in this study
Keywords
Q Science (General), QA Mathematics