TY - JOUR AU - Nadeem, Muhammad AU - Yao, Shao-Wen AU - Parveen, Nusrat PY - 2020 TI - Solution of Newell-Whitehead-Segel equation by variational iteration method with He's polynomials JO - Journal of Mathematics and Computer Science SP - 21--29 VL - 20 IS - 1 AB - This article seeks to extend the variational iteration method (VIM) with He's polynomials for the approximate solution of nonlinear Newell-Whitehead-Segel equation (NWSE). Lagrange multiplier in correction functional is determined with the help of variational theory, and then homotopy perturbation method (HPM) is employed to dissolve the nonlinear terms. Thus a successful series is obtained with these iterations which are termed as He's polynomials. Result shows that this method is highly accurate and comes closer very quickly to the exact solution. We formulate three possible cases of NWSE to show the capability and ability of the present method. The valuable outcome discloses that the proposed strategy is very convenient, straightforward and can be utilized to linear and nonlinear problems. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.020.01.03 DO - 10.22436/jmcs.020.01.03 ID - Nadeem2020 ER - TY - JOUR TI - Analytic solution for Newell--Whitehead--Segel equation by differential transform method AU - A. Aasaraai JO - Middle-East J. Sci. Res. PY - 2011 DA - 2011// VL - 10 ID - Aasaraai2011 ER - TY - JOUR TI - Homotopy Perturbation Method for the nonlinear MHD Jeffery--Hamel blood flows problem AU - I. Ahmad AU - H. Ilyas JO - Appl. Numer. Math. PY - 2019 DA - 2019// VL - 141 ID - Ahmad2019 ER - TY - JOUR TI - Laplace transform: Making the variational iteration method easier AU - N. Anjum AU - J.-H. He JO - Appl. Math. Lett. PY - 2019 DA - 2019// VL - 92 ID - Anjum2019 ER - TY - JOUR TI - Numerical solution of Bratu--type equations by the variational iteration method AU - B. Batiha JO - Hacet. J. Math. Stat. 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