A High-Order Difference Scheme for a Nonlocal Boundary-Value Problem for the Heat Equation
Abstract: This paper is concerned with a high order difference scheme for a non- local boundary-value problem of parabolic equation. The integrals in the boundary equations are approximated by the composite Simpson rule. The unconditional solv- ability and L_∞ convergence of the difference scheme is proved by the energy method. The convergence rate of the difference scheme is second order in time and fourth order in space. Some numerical examples are provided to illustrate the convergence.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A High-Order Difference Scheme for a Nonlocal Boundary-Value Problem for the Heat Equation ; volume:1 ; number:4 ; year:2001 ; pages:398-414
Computational methods in applied mathematics ; 1, Heft 4 (2001), 398-414
- Creator
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Sun, Zhi-Zhong
- DOI
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10.2478/cmam-2001-0026
- URN
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urn:nbn:de:101:1-2410261606075.502821858426
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:22 AM CEST
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Associated
- Sun, Zhi-Zhong
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