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

被引：0

作者：

Kesan, Cenk ^{[1
]}

机构：

[1] Dokuz Eylul Univ, Fac Educ, Dept Math, Izmir, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2015年 / 28卷 / 04期

关键词：

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

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：715 / 728

页数：14

共 50 条

[41] On the definitive solution of second order partial linear differential equations
Fejer, L
[J]. MATHEMATISCHE ZEITSCHRIFT, 1918, 1 : 70 - 79
[42] SOLUTION FOR CERTAIN LINEAR PARTIAL SECOND ORDER DIFFERENTIAL EQUATIONS
WATZLAWEK, W
[J]. MONATSHEFTE FUR MATHEMATIK, 1969, 73 (05): : 461 - +
[43] On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions
Area, I.
Godoy, E.
Rodal, J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) : 165 - 178
[44] LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH FUNDAMENTAL SYSTEMS
WATZLAWEK, W
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1971, 247 : 69 - +
[45] Bounds for Zeros of Solutions of Second Order Differential Equations with Polynomial Coefficients
Gil', M. I.
[J]. RESULTS IN MATHEMATICS, 2011, 59 (1-2) : 115 - 124
[46] PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
Michael Gil’
[J]. Acta Mathematica Scientia, 2012, 32 (03) : 1083 - 1092
[47] SUMS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
Gil, Michael
[J]. GLASNIK MATEMATICKI, 2015, 50 (01) : 183 - 192
[48] Bounds for Zeros of Solutions of Second Order Differential Equations with Polynomial Coefficients
M. I. Gil’
[J]. Results in Mathematics, 2011, 59 : 115 - 124
[49] PERTURBATIONS OF ZEROS OF SOLUTIONS TO SECOND ORDER DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
Gil', Michael
[J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (03) : 1083 - 1092
[50] On Polynomial Solutions of Linear Partial Differential and (q-) Difference Equations
Abramov, S. A.
Petkovsek, M.
[J]. COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2012, 2012, 7442 : 1 - 11

← 1 2 3 4 5 →