Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation.

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Title: Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation.
Authors: Jinming Zuo1 zuojinming@sdut.edu.cn
Source: Engineering Letters. Jan2026, Vol. 34 Issue 1, p419-428. 10p.
Subjects: Numerical solutions to equations, Discretization methods, Boundary value problems, Partial differential equations, Numerical analysis, Iterative methods (Mathematics)
Abstract: In this article, we construct two sixth-order accuracy compact finite difference schemes to solve the extended Fisher-Kolmogorov (EFK) equation with periodic initial boundary conditions. Priori estimates and unique solvability of numerical solutions are discussed in detail. The unconditionally stability and convergence of these two difference schemes are also proved. The numerical tests show the efficiency of the present schemes. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation.
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  Data: <searchLink fieldCode="AR" term="%22Jinming+Zuo%22">Jinming Zuo</searchLink><relatesTo>1</relatesTo><i> zuojinming@sdut.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Jan2026, Vol. 34 Issue 1, p419-428. 10p.
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  Label: Abstract
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  Data: In this article, we construct two sixth-order accuracy compact finite difference schemes to solve the extended Fisher-Kolmogorov (EFK) equation with periodic initial boundary conditions. Priori estimates and unique solvability of numerical solutions are discussed in detail. The unconditionally stability and convergence of these two difference schemes are also proved. The numerical tests show the efficiency of the present schemes. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Letters is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 419
    Subjects:
      – SubjectFull: Numerical solutions to equations
        Type: general
      – SubjectFull: Discretization methods
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
    Titles:
      – TitleFull: Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation.
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            NameFull: Jinming Zuo
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            – D: 01
              M: 01
              Text: Jan2026
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              Y: 2026
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