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Dergiler / Gazi University Journal of Science / 2015 / Cilt: 28 - Sayı: 4

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

Cenk KEŞAN
Sayfa
715–728
Yayın Tarihi
2015-12-16
DOI
—
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For this purpose, Taylor matrix method for the approximate solution of second order linear partial differential equations with specified associated conditions in terms of Taylor polynomials about any point.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial differential equations with three variables and variable coefficients.
📊
Temel Bulgular & Veri:The purpose of this study is to give a Taylor polynomial approximation for the solution of second order linear partial differential equations with three variables and variable coefficients.
💡
Sonuç & Katkı:For this purpose, Taylor matrix method for the approximate solution of second order linear partial differential equations with specified associated conditions in terms of Taylor polynomials about any point.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 differential equations with three variables and variable coefficients. For this purpose, Taylor matrix method for the approximate solution of second order linear partial differential equations with specified associated conditions in terms of Taylor polynomials about any point.

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Bu Makaleye Atıf Yap

KEŞAN, C. (2015). Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science, Cilt: 28 - Sayı: 4, 715–728. https://ajindex.com/articles/254826

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Kaynakça (4)

  1. Chen, C.K. and Ho, S.H. “Solving partial differential differential Mathematics and Computation,106 (1999), 171- by method”, Applied Debrabant, K. and Strehmel, K. “Convergence of Runge-Kutta methods applied to linear partial differential-algebraic Numerical Mathematics, 53 (2005), 213-229.
  2. Applied Keşan, C. “Taylor polynomial solutions of second order linear partial differential equations”, Applied Mathematics and Computation, 152 (2004), 29-41.
  3. 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.
  4. 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