SPLITTING METHODS FOR FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS.

被引：0

作者：

ter Maten, E.J.W. ^{[1
]}

机构：

[1] Nederlandse Philips Bedrijven B. V. Corperate ISA-CAD Centre-MSW, Blg SAQ-2504, Eindhoven, 5600 MD, Netherlands

来源：

Computing (Vienna/New York) | 1986年 / 37卷 / 04期

关键词：

SYSTEM STABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, several splitting methods are discussed which can be used to solve fourth order parabolic partial differential equations that are given in some suitable first order system form. The methods are generalizations of splitting methods for (second order) parabolic PDE's. For all methods which are considered, stability or instability is studied for problems in 2 and in 3 or more spatial dimensions.

引用

页码：335 / 350

共 50 条

[1] SPLITTING METHODS FOR FOURTH ORDER PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
TERMATEN, EJW
COMPUTING, 1986, 37 (04) : 335 - 350
[2] Spline methods for the solution of fourth-order parabolic partial differential equations
Aziz, T
Khan, A
Rashidinia, J
APPLIED MATHEMATICS AND COMPUTATION, 2005, 167 (01) : 153 - 166
[3] A family of third-order parallel splitting methods for parabolic partial differential equations
Taj, MSA
Twizell, EH
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1998, 67 (3-4) : 411 - 433
[4] B-splines methods with redefined basis functions for solving fourth order parabolic partial differential equations
Mittal, R. C.
Jain, R. K.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9741 - 9755
[5] MONTE CARLO METHODS FOR SOME FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS
GOPALSAMY, K
AGGARWALA, BD
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1970, 50 (12): : 759 - +
[6] Fourth-Order Splitting Methods for Time-Dependant Differential Equations
Geiser, Juergen
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 1 (03) : 321 - 339
[7] Fourth-Order Splitting Methods for Time-Dependant Differential Equations
Jürgen Geiser
Numerical Mathematics:Theory,Methods and Applications, 2008, Methods and Applications.2008 (03) : 321 - 339
[8] AN ASYMPTOTIC STUDY OF BLOW UP MULTIPLICITY IN FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
Lindsay, Alan E.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (01): : 189 - 215
[9] A Numerical Approach for the Analytical Solution of the Fourth-Order Parabolic Partial Differential Equations
Liu, Fenglian
Nadeem, Muhammad
Mahariq, Ibrahim
Dawood, Suliman
JOURNAL OF FUNCTION SPACES, 2022, 2022
[10] Application of Homotopy analysis method to fourth-order parabolic partial differential equations
Matinfar, M.
Saeidy, M.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (01): : 70 - 80

← 1 2 3 4 5 →