Zacytuj

He JH. Variational iteration method–a kind of non-linear analytical technique: some examples. International journal of non-linear mechanics. 1999 Jul 1;34(4):699-708. Search in Google Scholar

He JH. A short remark on fractional variational iteration method. Physics Letters A. 2011 Sep 5;375(38):3362-4. Search in Google Scholar

Suleman M, Lu D, Yue C, Ul Rahman J, Anjum N. He–Laplace method for general nonlinear periodic solitary solution of vibration equations. Journal of Low Frequency Noise, Vibration and Active Control. 2019 Dec;38(3-4):1297-304. Search in Google Scholar

He JH. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons & Fractals. 2004 Mar 1;19(4):847-51. Search in Google Scholar

He JH. Variational approach to (2+1)-dimensional dispersive long water equations. Physics Letters A. 2005 Feb 7;335(2-3):182-4. Search in Google Scholar

Ul Rahman J, Mohyuddin MR, Anjum N, Zahoor S. Mathematical modelling & simulation of mixing of salt in 3-interconnected tanks. Journal of Advances in Civil Engineering. 2015;1(1):1-6. Search in Google Scholar

Anjum N, He JH. Analysis of nonlinear vibration of nano/microelectromechanical system switch induced by electromagnetic force under zero initial conditions. Alexandria Engineering Journal. 2020 Dec 1;59(6):4343-52. Search in Google Scholar

Ain QT, Anjum N, He CH. An analysis of time-fractional heat transfer problem using two-scale approach. GEM-International Journal on Geomathematics. 2021 Dec;12:1-0. Search in Google Scholar

He, J. H., & El-Dib, Y. O. (2020). Homotopy perturbation method for Fangzhu oscillator. Journal of Mathematical Chemistry, 58, 2245-2253. Search in Google Scholar

Ul Rahman J, Lu D, Suleman M, He JH, Ramzan M. He–Elzaki method for spatial diffusion of biological population. Fractals. 2019 Aug 13;27(05):1950069. Search in Google Scholar

Suleman M, Lu D, He JH, Farooq U, Hui YS, Rahman JU. Numerical investigation of fractional HIV model using Elzaki projected differential transform method. Fractals. 2018 Oct 5;26(05):1850062. Search in Google Scholar

He CH, Liu C, He JH, Gepreel KA. Low frequency property of a fractal vibration model for a concrete beam. Fractals. 2021 Aug 25;29(05):2150117. Search in Google Scholar

Anjum N, He JH. Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly. International Journal of Modern Physics B. 2020 Dec 30;34(32):2050313. Search in Google Scholar

Tian D, Ain QT, Anjum N, He CH, Cheng B. Fractal N/MEMS: from pull-in instability to pull-in stability. Fractals. 2021 Mar 10;29(02):2150030. Search in Google Scholar

Ain QT, Anjum N, He CH. An analysis of time-fractional heat transfer problem using two-scale approach. GEM-International Journal on Geomathematics. 2021 Dec;12:1-0. Search in Google Scholar

Ain QT, He JH, Anjum N, Ali M. The fractional complex transform: A novel approach to the time-fractional Schrödinger equation. Fractals. 2020 Nov 2;28(07):2050141. Search in Google Scholar

Rehman S, Hussain A, Rahman JU, Anjum N, Munir T. Modified Laplace based variational iteration method for the mechanical vibrations and its applications. acta mechanica et automatica. 2022;16(2):98-102. Search in Google Scholar

He JH. Some asymptotic methods for strongly nonlinear equations. International journal of Modern physics B. 2006 Apr 20;20(10): 1141-99. Search in Google Scholar

Noor MA, Mohyud-Din ST. Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials. International Journal of Nonlinear Sciences and Numerical Simulation. 2008 Jun;9(2):141-56. Search in Google Scholar

He JH. Generalized equilibrium equations for shell derived from a generalized variational principle. Applied Mathematics Letters. 2017 Feb 1;64:94-100. Search in Google Scholar

He JH. An alternative approach to establishment of a variational principle for the torsional problem of piezoelastic beams. Applied Mathematics Letters. 2016 Feb 1;52:1-3. Search in Google Scholar

Wu Y, He JH. A remark on Samuelson’s variational principle in economics. Applied Mathematics Letters. 2018 Oct 1;84:143-7. Search in Google Scholar

He JH. Variational iteration method—some recent results and new interpretations. Journal of computational and applied mathematics. 2007 Oct 1;207(1):3-17. Search in Google Scholar

He JH, Wu XH. Variational iteration method: new development and applications. Computers & Mathematics with Applications. 2007 Oct 1;54(7-8):881-94. Search in Google Scholar

He JH. Variational iteration method for autonomous ordinary differential systems. Applied mathematics and computation. 2000 Sep 11;114(2-3):115-23. Search in Google Scholar

He JH. Variational theory for linear magneto-electro-elasticity. International Journal of Nonlinear Sciences and Numerical Simulation. 2001 Dec;2(4):309-16. Search in Google Scholar

He J. Variational iteration method for delay differential equations. Communications in Nonlinear Science and Numerical Simulation. 1997 Dec 1;2(4):235-6. Search in Google Scholar

Petrova Z, Puleva T. Mathematical modeling of the equation of Duffing with applications for master degree students—Part I. InAIP Conference Proceedings 2018 Dec 10 (Vol. 2048, No. 1). AIP Publishing. Search in Google Scholar

Kanamaru T. Duffing oscillator. Scholarpedia. 2008 Mar 25;3(3):6327. Search in Google Scholar

Savov VN, Georgiev ZD, Todorov TG. Analysis and synthesis of perturbed Duffing oscillators. International journal of circuit theory and applications. 2006 May;34(3):281-306. Search in Google Scholar

Tao H, Anjum N, Yang YJ. The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus. Frontiers in Physics. 2023 Apr 27;11:1168795. Search in Google Scholar

Anjum N, He JH. Laplace transform: making the variational iteration method easier. Applied Mathematics Letters. 2019 Jun 1;92:134-8. Search in Google Scholar

Anjum N, Suleman M, Lu D, He JH, Ramzan M. Numerical iteration for nonlinear oscillators by Elzaki transform. Journal of Low Frequency Noise, Vibration and Active Control. 2020 Dec;39(4):879-84. Search in Google Scholar

Yildirim A, Saadatnia Z, Askari H, Khan Y, KalamiYazdi M. Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach. Applied Mathematics Letters. 2011 Dec 1;24(12):2042-51. Search in Google Scholar

Rehman S, Muhammad N. Mathematical analysis of nonlinear models and their role in dynamics. Modern Physics Letters B. 2023 Oct 31:2450097. Search in Google Scholar

Shah NA, Rehman S, Vieru D, Yook SJ. Unsteady flows of micropolar fluids parallel to the axis of an annular domain with a porous layer. Alexandria Engineering Journal. 2023 Aug 1;76:275-87. Search in Google Scholar

Rehman S, Muhammad N, Alshehri M, Alkarni S, Eldin SM, Shah NA. Analysis of a viscoelastic fluid flow with Cattaneo–Christov heat flux and Soret–Dufour effects. Case Studies in Thermal Engineering. 2023 Sep 1;49:103223. Search in Google Scholar