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Numerical Solution Of Traveling Waves In Chemical Kinetics: Time-Fractional Fishers Equations

Author

Listed:
  • FUZHANG WANG

    (College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, P. R. China†College of Mathematics, Huaibei Normal University, Huaibei 235000, P. R. China)

  • MUHAMMAD NAWAZ KHAN

    (��Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan)

  • IMTIAZ AHMAD

    (�Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan)

  • HIJAZ AHMAD

    (��Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan)

  • HANAA ABU-ZINADAH

    (�Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia)

  • YU-MING CHU

    (��Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China**Institute for Advanced Study Honoring, Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

Abstract

This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.

Suggested Citation

  • Fuzhang Wang & Muhammad Nawaz Khan & Imtiaz Ahmad & Hijaz Ahmad & Hanaa Abu-Zinadah & Yu-Ming Chu, 2022. "Numerical Solution Of Traveling Waves In Chemical Kinetics: Time-Fractional Fishers Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(02), pages 1-11, March.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:02:n:s0218348x22400515
    DOI: 10.1142/S0218348X22400515
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    Citations

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    Cited by:

    1. Xu, Hang, 2023. "A generalized analytical approach for highly accurate solutions of fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Muhammad Bilal Khan & Ali Althobaiti & Cheng-Chi Lee & Mohamed S. Soliman & Chun-Ta Li, 2023. "Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities," Mathematics, MDPI, vol. 11(13), pages 1-23, June.
    3. Muhammad Bilal Khan & Hakeem A. Othman & Michael Gr. Voskoglou & Lazim Abdullah & Alia M. Alzubaidi, 2023. "Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
    4. Kang, Daekook & Devi, S. Aicevarya & Felix, Augustin & Narayanamoorthy, Samayan & Kalaiselvan, Samayan & Balaenu, Dumitru & Ahmadian, Ali, 2022. "Intuitionistic fuzzy MAUT-BW Delphi method for medication service robot selection during COVID-19," Operations Research Perspectives, Elsevier, vol. 9(C).
    5. Fu, Xinjie & Wang, JinRong, 2022. "Dynamic stability and optimal control of SISqIqRS epidemic network," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    6. Qayyum, Mubashir & Tahir, Aneeza & Saeed, Syed Tauseef & Akgül, Ali, 2023. "Series-form solutions of generalized fractional-fisher models with uncertainties using hybrid approach in Caputo sense," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    7. Muhammad Bilal Khan & Hakeem A. Othman & Aleksandr Rakhmangulov & Mohamed S. Soliman & Alia M. Alzubaidi, 2023. "Discussion on Fuzzy Integral Inequalities via Aumann Integrable Convex Fuzzy-Number Valued Mappings over Fuzzy Inclusion Relation," Mathematics, MDPI, vol. 11(6), pages 1-20, March.

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