Multivariate pade approximation for solving partial differential equations (PDE)

被引：8

作者：

Turut, Veyis ^{[2
]}

Celik, Ercan ^{[1
]}

Yigider, Muhammed ^{[3
]}

机构：

[1] Ataturk Univ, Fen Fak, Matemat Bolumu, Erzurum, Turkey

[2] Batman Univ, Fen Edebiyat Fak, Matemat Bolumu, Batman, Turkey

[3] Erzincan Univ, Fen Edebiyat Fak, Matemat Bolumu, Erzincan, Turkey

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2011年 / 66卷 / 09期

关键词：

partial differential equation (PDE); two-dimensional differential transformation; multivariate pade approximation; numerical solution; differential transformation; ordinary differential-algebraic equations;

D O I：

10.1002/fld.2305

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate pade approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate pade series form. Thus, we obtained numerical solution of PDE. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：1159 / 1173

页数：15

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