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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The computed results for three examples arecompared wherever possible with those already available in literaturewhich shows the superiority of the proposed method.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we report three level implicit method of high accuracyschemes for the numerical solution of fourth order nonhomogeneousparabolic partial dierential equation, that governs the behavior of avibrating beam.
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Key Findings & Data:Parametric septic spline is used in space and nitedierence discretization in time.
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Conclusion & Impact:The computed results for three examples arecompared wherever possible with those already available in literaturewhich shows the superiority of the proposed method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Finite difference scheme · Parametric septic spline · Fourth order parabolic equation
Abstract
In this paper, we report three level implicit method of high accuracyschemes for the numerical solution of fourth order nonhomogeneousparabolic partial dierential equation, that governs the behavior of avibrating beam. Parametric septic spline is used in space and nitedierence discretization in time. The linear stability of the presentedmethod is investigated. The computed results for three examples arecompared wherever possible with those already available in literaturewhich shows the superiority of the proposed method.
Keywords
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Cite This Article
Sultana, T., Khan, A. (2022). Numerical solution of fourth order parabolic partial dierential equation using parametric septic splines. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 4, 1067–1082. https://ajindex.com/articles/530124