Search Results - variational iteration algorithm-II

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  1. 1

    Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models by Chu, Yu-Ming, Stanimirović, Predrag S., Khan, Tufail A., Ahmad, Hijaz, Ahmad, Imtiaz

    ISSN: 1076-2787, 1099-0526
    Published: Cairo, Egypt Hindawi Publishing Corporation 2020
    Published in Complexity (New York, N.Y.) (2020)
    “… The current study presents an improved algorithm to the variational iteration algorithm-II (VIA-II) for the numerical treatment of diffusion as well as convection-diffusion equations…”
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    Journal Article
  2. 2

    Higher order explicit solutions for nonlinear dynamic model of column buckling using variational approach and variational iteration algorithm-II by Bagheri, Saman, Nikkar, Ali

    ISSN: 1738-494X, 1976-3824
    Published: Seoul Korean Society of Mechanical Engineers 01.11.2014
    “… He’s variational approach and variational iteration algorithm-II. These methods are used to find analytical approximate solution of nonlinear dynamic equation of a model for the column buckling…”
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    Journal Article
  3. 3

    Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm by Ahmad, Hijaz, Seadawy, Aly R., Khan, Tufail A.

    ISSN: 0378-4754, 1872-7166
    Published: Elsevier B.V 01.11.2020
    Published in Mathematics and computers in simulation (01.11.2020)
    “…In this paper, we propose an incredible modification of variational iteration algorithm-II that will accelerate the fast convergence of the series solution…”
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    Journal Article
  4. 4

    Local fractional variational iteration algorithm II for non-homogeneous model associated with the non-differentiable heat flow by Zhang, Yu, Srivastava, Hari M, Baleanu, Mihaela-Cristina

    ISSN: 1687-8132, 1687-8140
    Published: London, England SAGE Publications 01.10.2015
    Published in Advances in mechanical engineering (01.10.2015)
    “…s in fractal media point view. We employ the local fractional variational iteration algorithm II to solve the fractal heat equations…”
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    Journal Article
  5. 5

    Study of the effects of the Reynolds number on circular porous slider via variational iteration algorithm-II by Faraz, Naeem

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.04.2011
    “… The resulting equations are solved by using He’s variational iteration algorithm-II. The resulting series solution contains the well known Reynolds number…”
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    Journal Article
  6. 6

    Numerical solution of coupled Schrödinger–KdV equation via modified variational iteration algorithm-II by Safavi, Mostafa

    ISSN: 2254-3902, 2281-7875
    Published: Cham Springer International Publishing 01.09.2018
    Published in SeMA journal (01.09.2018)
    “…This paper applied the modified variational iteration algorithm-II to obtain the numerical solution of coupled Schrödinger–KdV equation…”
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    Journal Article
  7. 7

    Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations by Ahmad, Hijaz, Seadawy, Aly R., Khan, Tufail A., Thounthong, Phatiphat

    ISSN: 1658-3655, 1658-3655
    Published: Taylor & Francis 01.01.2020
    Published in Journal of Taibah University for Science (01.01.2020)
    “…In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations…”
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    Journal Article
  8. 8

    Second-order two-point boundary value problems using the variational iteration algorithm-II by Wu, Boying, Li, Xiuying

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 01.04.2011
    “…In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems…”
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    Journal Article
  9. 9

    Numerical Solutions of Coupled Burgers’ Equations by Ahmad, Hijaz, Khan, Tufail A., Cesarano, Clemente

    ISSN: 2075-1680, 2075-1680
    Published: Basel MDPI AG 2019
    Published in Axioms (2019)
    “…In this article, two new modified variational iteration algorithms are investigated for the numerical solution of coupled Burgers’ equations…”
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    Journal Article
  10. 10

    Analytic approximate solutions of diffusion equations arising in oil pollution by Ahmad, Hijaz, Khan, Tufail A., Durur, Hülya, Ismail, G.M., Yokus, Asıf

    ISSN: 2468-0133, 2468-0133
    Published: Elsevier B.V 01.03.2021
    Published in Journal of ocean engineering and science (01.03.2021)
    “…•Applications of modified variational iteration algorithms in oil pollution.•Numerical solution of diffusion equation arising in oil pollution…”
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    Journal Article
  11. 11

    An efficient approach for the numerical solution of fifth-order KdV equations by Ahmad, Hijaz, Khan, Tufail A., Yao, Shao-Wen

    ISSN: 2391-5455, 2391-5455
    Published: Warsaw De Gruyter 01.01.2020
    Published in Open mathematics (Warsaw, Poland) (01.01.2020)
    “…The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II…”
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    Journal Article
  12. 12

    Variational iteration method for Bratu-like equation arising in electrospinning by He, Ji-Huan, Kong, Hai-Yan, Chen, Rou-Xi, Hu, Ming-sheng, Chen, Qiao-ling

    ISSN: 0144-8617, 1879-1344, 1879-1344
    Published: Kidlington Elsevier 25.05.2014
    Published in Carbohydrate polymers (25.05.2014)
    “… and vibration-electrospinning process is the standard variational iteration method. An effective algorithm using the variational iteration algorithm-II is suggested for Bratu-like equation arising in electrospinning…”
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    Journal Article
  13. 13

    A general numerical algorithm for nonlinear differential equations by the variational iteration method by He, Ji-Huan, Latifizadeh, Habibolla

    ISSN: 0961-5539, 1758-6585, 1758-6585
    Published: Bradford Emerald Publishing Limited 15.10.2020
    “…). Design/methodology/approach Firstly, the Laplace transform technique is used to reconstruct the variational iteration algorithm-II…”
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    Journal Article
  14. 14

    Convergence of variational iteration method applied to two-point diffusion problems by Chang, Shih-Hsiang

    ISSN: 0307-904X
    Published: Elsevier Inc 01.08.2016
    Published in Applied mathematical modelling (01.08.2016)
    “…•A new approach is introduced to construct the variational iteration algorithm-II for diffusion problems…”
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    Journal Article
  15. 15

    An Aproximation to Solution of Space and Time Fractional Telegraph Equations by the Variational Iteration Method by He, Ji-Huan

    ISSN: 1024-123X, 1563-5147
    Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
    Published in Mathematical Problems in Engineering (01.01.2012)
    “… This paper shows that algorithm can be updated by either variational iteration algorithm-II or the fractional variational iteration method…”
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    Journal Article
  16. 16

    A Novel Iterative Scheme and Its Application to Differential Equations by Khan, Yasir, Šmarda, Zdenĕk, Naeem, F.

    ISSN: 2356-6140, 1537-744X, 1537-744X
    Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
    Published in TheScientificWorld (01.01.2014)
    “…The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler…”
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    Journal Article
  17. 17

    Convergence of variational iteration method applied to generalized two-point diffusion problems by Shih-Hsiang Chang

    Published: IEEE 01.05.2017
    “…In this paper, the variational iteration algorithm-II for generalized diffusion problems is theoretically constructed…”
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    Conference Proceeding
  18. 18

    Comparison of two approximal proximal point algorithms for monotone variational inequalities by Tao, Min

    ISSN: 1673-565X, 1862-1775
    Published: School of Applied Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China 01.05.2007
    Published in Journal of Zhejiang University. A. Science (01.05.2007)
    “… Ⅰ; in the same way, Algorithm Ⅱ is proposed by spreading the general extra-gradient methods…”
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    Journal Article
  19. 19

    A new iteration algorithm for solving the diffusion problem in non-differentiable heat transfer by Yang, Zhifeng, Zhao, Yang, Fan, Guobing

    ISSN: 0354-9836, 2334-7163
    Published: Belgrade Society of Thermal Engineers of Serbia 2015
    Published in Thermal science (2015)
    “…In the article, the variational iteration algorithm LFVIA-II is implemented to solve the diffusion equation occurring in non-differentiable heat transfer…”
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    Journal Article
  20. 20

    2D Eigenvalue Problem III: Convergence Analysis of the 2D Rayleigh Quotient Iteration by Lu, Tianyi, Su, Yangfeng, Bai, Zhaojun

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 09.03.2023
    Published in arXiv.org (09.03.2023)
    “… In Part II, we proposed a Rayleigh quotient iteration (RQI)-like algorithm (2DRQI) for computing a 2D-eigentriplet of the 2DEVP near a prescribed point, and discussed…”
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    Paper