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

Year 2015, Volume: 28 Issue: 4, 715 - 728, 16.12.2015

Cenk Keşan

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. 

Keywords

Taylor polynomial solutions partial differential equations with three variables; approximate solutions of partial differential equations

References

  • 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. Applied
  • Keşan, C. “Taylor polynomial solutions of second order linear partial differential equations”, Applied Mathematics and Computation, 152 (2004), 29-41.
  • 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.
  • 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

Year 2015, Volume: 28 Issue: 4, 715 - 728, 16.12.2015

Cenk Keşan

Abstract

References

  • 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. Applied
  • Keşan, C. “Taylor polynomial solutions of second order linear partial differential equations”, Applied Mathematics and Computation, 152 (2004), 29-41.
  • 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.
  • 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
There are 5 citations in total.

Details

Journal Section Mathematics
Authors

Cenk Keşan

Publication Date December 16, 2015
Published in Issue Year 2015 Volume: 28 Issue: 4

Cite

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.
AMA Keşan C. Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science. December 2015;28(4):715-728.
Chicago Keşan, Cenk. “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations With Three Variables”. Gazi University Journal of Science 28, no. 4 (December 2015): 715-28.
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 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, 2015.
ISNAD Keşan, Cenk. “Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations With Three Variables”. Gazi University Journal of Science 28/4 (December 2015), 715-728.
JAMA 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, 2015, pp. 715-28.
Vancouver Keşan C. Taylor Polynomial Solutions of Second Order Linear Partial Differential Equations with Three Variables. Gazi University Journal of Science. 2015;28(4):715-28.