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. |
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| 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.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190639059 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Two Sixth-order Compact Finite Difference Schemes for the Extended Fisher-Kolmogorov Equation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jinming+Zuo%22">Jinming Zuo</searchLink><relatesTo>1</relatesTo><i> zuojinming@sdut.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Engineering+Letters%22">Engineering Letters</searchLink>. Jan2026, Vol. 34 Issue 1, p419-428. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+solutions+to+equations%22">Numerical solutions to equations</searchLink><br /><searchLink fieldCode="DE" term="%22Discretization+methods%22">Discretization methods</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab 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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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: 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. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jinming Zuo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1816093X Numbering: – Type: volume Value: 34 – Type: issue Value: 1 Titles: – TitleFull: Engineering Letters Type: main |
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