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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The computed results for three examples are compared wherever possible with those already available in literature which 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 accuracy schemes for the numerical solution of fourth order nonhomogeneous parabolic partial dierential equation, that governs the behavior of a vibrating beam.
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Key Findings & Data:Parametric septic spline is used in space and nite dierence discretization in time.
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Conclusion & Impact:The computed results for three examples are compared wherever possible with those already available in literature which 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 accuracy schemes for the numerical solution of fourth order nonhomogeneous parabolic partial dierential equation, that governs the behavior of a vibrating beam. Parametric septic spline is used in space and nite dierence discretization in time. The linear stability of the presented method is investigated. The computed results for three examples are compared wherever possible with those already available in literature which shows the superiority of the proposed method.
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Cite This Article
Khan, A., Sultana, T. (2016). Numerical solution of fourth order parabolic partial dierential equation using parametric septic splines. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 4. https://ajindex.com/articles/1403121