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Multivariate padé approximation for solving partial differential equations (PDE)
Author(s) -
Turut Veyis,
Çelik Ercan,
Yiğider Muhammed
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2305
Subject(s) - multivariate statistics , partial differential equation , mathematics , power series , series (stratigraphy) , first order partial differential equation , numerical partial differential equations , transformation (genetics) , numerical analysis , partial derivative , mathematical analysis , statistics , chemistry , geology , paleontology , biochemistry , gene
Abstract In this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate padé 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 padé series form. Thus, we obtained numerical solution of PDE. Copyright © 2010 John Wiley & Sons, Ltd.