Mathematics and Statistics Vol. 8(2), pp. 87 - 94
DOI: 10.13189/ms.2020.080203
Reprint (PDF) (326Kb)

The Semi Analytics Iterative Method for Solving Newell-Whitehead-Segel Equation

Busyra Latif ^*, Mat Salim Selamat , Ainnur Nasreen Rosli , Alifah Ilyana Yusoff , Nur Munirah Hasan
Faculty of Computer and Mathematical Sciences, University Teknologi MARA Negeri Sembilan, Seremban Campus, 70300 Seremban, Negeri Sembilan, Malaysia

ABSTRACT

Newell-Whitehead-Segel (NWS) equation is a nonlinear partial differential equation used in modeling various phenomena arising in fluid mechanics. In recent years, various methods have been used to solve the NWS equation such as Adomian Decomposition method (ADM), Homotopy Perturbation method (HPM), New Iterative method (NIM), Laplace Adomian Decomposition method (LADM) and Reduced Differential Transform method (RDTM). In this study, the NWS equation is solved approximately using the Semi Analytical Iterative method (SAIM) to determine the accuracy and effectiveness of this method. Comparisons of the results obtained by SAIM with the exact solution and other existing results obtained by other methods such as ADM, LADM, NIM and RDTM reveal the accuracy and effectiveness of the method. The solution obtained by SAIM is close to the exact solution and the error function is close to zero compared to the other methods mentioned above. The results have been executed using Maple 17. For future use, SAIM is accurate, reliable, and easier in solving the nonlinear problems since this method is simple, straightforward, and derivative free and does not require calculating multiple integrals and demands less computational work.

KEYWORDS
Exact Solution, Newell-Whitehead-Segel equation, Semi analytic Iterative Method

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Busyra Latif , Mat Salim Selamat , Ainnur Nasreen Rosli , Alifah Ilyana Yusoff , Nur Munirah Hasan , "The Semi Analytics Iterative Method for Solving Newell-Whitehead-Segel Equation," Mathematics and Statistics, Vol. 8, No. 2, pp. 87 - 94, 2020. DOI: 10.13189/ms.2020.080203.

(b). APA Format:
Busyra Latif , Mat Salim Selamat , Ainnur Nasreen Rosli , Alifah Ilyana Yusoff , Nur Munirah Hasan (2020). The Semi Analytics Iterative Method for Solving Newell-Whitehead-Segel Equation. Mathematics and Statistics, 8(2), 87 - 94. DOI: 10.13189/ms.2020.080203.