@Article{Aasaraai2011, author="A. Aasaraai", title="Analytic solution for Newell--Whitehead--Segel equation by differential transform method", journal="Middle-East J. Sci. Res.", year="2011", pages="270--273", volume="10" } @Article{Ahmad2019, author="I. Ahmad, H. Ilyas", title="Homotopy Perturbation Method for the nonlinear MHD Jeffery--Hamel blood flows problem", journal="Appl. Numer. Math.", year="2019", pages="124--132", volume="141" } @Article{Anjum2019, author="N. Anjum, J.-H. He", title="Laplace transform: Making the variational iteration method easier", journal="Appl. Math. Lett.", year="2019", pages="134--138", volume="92" } @Article{Batiha2010, author="B. Batiha", title="Numerical solution of Bratu--type equations by the variational iteration method", journal="Hacet. J. Math. Stat.", year="2010", pages="23--29", volume="39" } @Article{Batiha2007, author="B. Batiha, M. S. M. Noorani, I. Hashim", title="Numerical solution of sine--Gordon equation by variational iteration method", journal="Phys. Lett. A", year="2007", pages="437--440", volume="370" } @Article{Biazar2007, author="J. Biazar, H. Ghazvini", title="He's variational iteration method for solving hyperbolic differential equations", journal="Int. J. Nonlinear Sci. Numer. Simul.", year="2007", pages="311--314", volume="8" } @Article{Ghorbani2017, author="A. Ghorbani, M. Bakherad", title="A variational iteration method for solving nonlinear Lane--Emden problems", journal="New Astronomy", year="2017", pages="1--6", volume="54" } @Article{He1999, author="J.-H. He", title="Homotopy perturbation technique", journal="Comput. Methods Appl. Mech. Engrg.", year="1999", pages="257--262", volume="178" } @Article{He1999, author="J.-H. He", title="Variational iteration method--a kind of non-linear analytical technique: some examples", journal="Internat. J. Non-Linear Mech.", year="1999", pages="699--708", volume="34" } @Article{He2000, author="J.-H. He", title="Variational iteration method for autonomous ordinary differential systems", journal="Appl. Math. Comput.", year="2000", pages="115--123", volume="114" } @Article{He2003, author="J.-H. He", title="Homotopy perturbation method: a new nonlinear analytical technique", journal="Appl. Math. Comput.", year="2003", pages="73--79", volume="135" } @Article{He2004, author="J.-H. He", title="The homotopy perturbation method for nonlinear oscillators with discontinuities", journal="Appl. Math. Comput.", year="2004", pages="287--292", volume="151" } @Article{He2005, author="J.-H. He", title="Application of homotopy perturbation method to nonlinear wave equations", journal="Chaos Solitons Fractals", year="2005", pages="695--700", volume="26" } @Article{He2006, author="J.-H. He", title="Addendum: new interpretation of homotopy perturbation method", journal="Internat. J. Modern Phys. B", year="2006", pages="2561--2568", volume="20" } @Article{He2008, author="J.-H. He", title="Recent development of the homotopy perturbation method", journal="Topol. Methods Nonlinear Anal.", year="2008", pages="205--209", volume="31" } @Article{He2012, author="J.-H. He", title="Homotopy perturbation method with an auxiliary term", journal="Abstr. Appl. Anal.", year="2012", pages="7 pages", volume="2012" } @Article{He2014, author="J.-H. He", title="Homotopy perturbation method with two expanding parameters", journal="Indian J. Phys.", year="2014", pages="193--196", volume="88" } @Article{He2018, author="J.-H. He", title="Fractal calculus and its geometrical explanation", journal="Results Phys.", year="2018", pages="272--276", volume="10" } @Article{He2019, author="J.-H. He", title="The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators", journal="J. Low Frequency Noise Vibr. Active Control", year="2019", pages="12 pages", volume="2019" } @Article{He2014, author="J.-H. He, H.-Y. Kong, R.-X. Chen, M. Hu, Q. Chen", title="Variational iteration method for Bratu--like equation arising in electrospinning", journal="Carbohydrate Polymer", year="2014", pages="229--230", volume="105" } @Article{Jassim2015, author="H. K. Jassim", title="Homotopy perturbation algorithm using Laplace transform for Newell--Whitehead--Segel equation", journal="Int. J. Adv. Appl. Math. Mech.", year="2015", pages="8--12", volume="2" } @Article{Li2019, author="X.-X. Li, D. Tian, C.-H. He, J.-H. He", title="A fractal modification of the surface coverage model for an electrochemical arsenic sensor", journal="Electrochimica Acta", year="2019", pages="491--493", volume="296" } @Article{Liu2017, author="Z.-J. Liu, M. Y. Adamu, E. Suleiman, J.-H. He", title="Hybridization of homotopy perturbation method and Laplace transformation for the partial differential equations", journal="Therm. Sci.", year="2017", pages="1843--1846", volume="21" } @Article{Manaa2011, author="S. A. Manaa", title="An Approximate solution to the Newell--Whitehead--Segel equation by the Adomian decomposition method, Raf", journal="J. Comput. Math.", year="2011", pages="171--180", volume="8" } @Article{Nadeem2018, author="M. Nadeem, F. Q. Li", title="Modified Laplace Variational Iteration Method for Analytical Approach of Klein--Gordon and Sine--Gordon Equations", journal="Iran. J. Sci. Technol. Trans. A Sci.", year="2018", pages="1933--1940", volume="43" } @Article{Nadeem2018, author="M. Nadeem, F. Li, H. Ahmad", title="He's variational iteration method for solving non-homogeneous Cauchy Euler differential equations", journal="Nonlinear Sci. Lett. A Math. Phys. Mech.", year="2018", pages="231--237", volume="9" } @Article{Nadeem2019, author="M. Nadeem, F. Q. Li, H. Ahmad", title="Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients", journal="Comput. Math. Appl.", year="2019", pages="2052--2062", volume="78" } @Article{Nourazar2011, author="S. S. Nourazar, M. Soori, A. Nazari-Golshan", title="On the exact solution of Newell--Whitehead--Segel equation using the homotopy perturbation method", journal="Aust. J. Basic Appl. Sci.", year="2011", pages="1400--1411", volume="5" } @Article{Patade2015, author="J. Patade, S. Bhalekar", title="Approximate analytical solutions of Newell--Whitehead--Segel equation using a new iterative method", journal="World J. Modell. Simul.", year="2015", pages="94--103", volume="11" } @Article{Prakash2016, author="A. Prakash, M. Kumar", title="He's variational iteration method for the solution of nonlinear Newell--Whitehead--Segel equation", journal="J. Appl. Anal. Comput.", year="2016", pages="738--748", volume="6" } @Article{Pue-on2013, author="P. Pue-on", title="Laplace Adomian Decomposition Method for Solving Newell--Whitehead--Segel Equation", journal="Appl. Math. Sci. (Ruse)", year="2013", pages="6593--6600", volume="7" } @Article{Najafi2014, author="H. Saberi Najafi, S. A. Edalatpanah", title="Homotopy perturbation method for linear programming problems", journal="Appl. Math. Model.", year="2014", pages="1607--1611", volume="38" } @Article{Saravi2013, author="M. Saravi, M. Hermann, D. Kaiser", title="Solution of Bratus equation by He's variational iteration method", journal="Amer. J. Comput. Appl. Math.", year="2013", pages="46--48", volume="3" } @Article{Shakeri2007, author="F. Shakeri, M. Dehghan", title="Inverse problem of diffusion equation by He's homotopy perturbation method", journal="Physica Scripta", year="2007", pages="551--556", volume="75" } @Article{Shou2009, author="D.-H. Shou", title="The homotopy perturbation method for nonlinear oscillators", journal="Comput. Math. Appl.", year="2009", pages="2456--2459", volume="58" } @Article{Wang2019, author="Y. Wang, Q. Deng", title="Fractal derivative model for tsunami traveling", journal="Fractals", year="2019", pages="3 pages", volume="27" } @Article{Wang2018, author="Q. Wang, X. Shi, J.-H. He, Z. B. Li", title="Fractal calculus and its application to explanation of biomechanism of polar bear hairs", journal="Fractals", year="2018", pages="18 pages", volume="26" } @Article{Wu2018, author="Y. Wu, J.-H. He", title="Homotopy perturbation method for nonlinear oscillators with coordinate--dependent mass", journal="Results Phys.", year="2018", pages="270--271", volume="10" } @Article{Yu2018, author="D.-N. Yu, J.-H. He, A. G. Garcıa", title="Homotopy perturbation method with an auxiliary parameter for nonlinear oscillators", journal="J. Low Frequency Noise Vibr. Active Control", year="2018", pages="11 pages", volume="2018" } @Article{Zahra2014, author="W. K. Zahra, W. A. Ouf, M. S. El-Azab", title="Cubic $B$-spline collocation algorithm for the numerical solution of Newell Whitehead Segel type equations", journal="Electron. J. Math. Anal. Appl.", year="2014", pages="81--100", volume="2" }