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

Volume: 28 Number: 4 December 16, 2015
EN

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

Abstract

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

Keywords

References

  1. Chen, C.K. and Ho, S.H. “Solving partial differential differential Mathematics and Computation,106 (1999), 171- by method”, Applied
  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

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

December 16, 2015

Submission Date

May 14, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 28 Number: 4

APA
Keşan, C. (2015). Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science, 28(4), 715-728. https://izlik.org/JA93NJ88UE
AMA
1.Keşan C. Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science. 2015;28(4):715-728. https://izlik.org/JA93NJ88UE
Chicago
Keşan, Cenk. 2015. “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations With Three Variables”. Gazi University Journal of Science 28 (4): 715-28. https://izlik.org/JA93NJ88UE.
EndNote
Keşan C (December 1, 2015) Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science 28 4 715–728.
IEEE
[1]C. Keşan, “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables”, Gazi University Journal of Science, vol. 28, no. 4, pp. 715–728, Dec. 2015, [Online]. Available: https://izlik.org/JA93NJ88UE
ISNAD
Keşan, Cenk. “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations With Three Variables”. Gazi University Journal of Science 28/4 (December 1, 2015): 715-728. https://izlik.org/JA93NJ88UE.
JAMA
1.Keşan C. Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science. 2015;28:715–728.
MLA
Keşan, Cenk. “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations With Three Variables”. Gazi University Journal of Science, vol. 28, no. 4, Dec. 2015, pp. 715-28, https://izlik.org/JA93NJ88UE.
Vancouver
1.Cenk Keşan. Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science [Internet]. 2015 Dec. 1;28(4):715-28. Available from: https://izlik.org/JA93NJ88UE