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