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Journals / Gazi University Journal of Science / 2015 / Volume: 28 Issue: 4

Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables

Cenk Keşan
Pages
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Publication Date
2015-12-16
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

For this purpose, Taylor matrix method for the approximate solution of second order linear partial di ff erential equations with specified associated conditions in terms of Taylor polynomials about any point.

📌 3 Key Takeaways

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Objective & Hypothesis:The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial di ff erential equations with three variables and variable coe ffi cients.
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Key Findings & Data:The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial di ff erential equations with three variables and variable coe ffi cients.
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Conclusion & Impact:For this purpose, Taylor matrix method for the approximate solution of second order linear partial di ff erential equations with specified associated conditions in terms of Taylor polynomials about any point.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Taylor polynomial solutions · partial differential equations with three variables · approximate solutions of partial differential equations

Abstract

The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial di ff erential equations with three variables and variable coe ffi cients. For this purpose, Taylor matrix method for the approximate solution of second order linear partial di ff erential equations with specified associated conditions in terms of Taylor polynomials about any point.

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Cite This Article

Keşan, C. (2015). Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science, Volume: 28 Issue: 4. https://ajindex.com/articles/1269571

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References (5)

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  2. Debrabant, K. and Strehmel, K. “Convergence of Runge-Kutta methods applied to linear partial differential-algebraic Numerical Mathematics, 53 (2005), 213-229. Applied
  3. Keşan, C. “Taylor polynomial solutions of second order linear partial differential equations”, Applied Mathematics and Computation, 152 (2004), 29-41.
  4. Kurulay, M. and Bayram, M. “A Novel power series method for solving second order partial differential equations”, European Journal of Pure and Applied Mathematics, 2 (2009), 268-277.
  5. Yang, X. Liu, Y. and Bai, S. “A numerical solution of second-order linear partial differential equations by differential transform”, Applied Mathematics and Computation, 173 (2006), 792