Error and stability of monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems

This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions ar...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 200; no. 2; pp. 503 - 519
Main Author: Wang, Yuan-Ming
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 15.03.2007
Elsevier
Subjects:
Exact sciences and technology
Finite difference solution
Fourth-order elliptic equations
Global error
Mathematical analysis
Mathematics
Monotone method
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Rate of convergence
Sciences and techniques of general use
Stability
35J40
Stability
Finite difference solution
Global error
65N06
Fourth-order elliptic equations
Rate of convergence
65N22
Monotone method
Error analysis
Monotonic solution
Error estimation
Convergence acceleration
Fourth order equation
Numerical method
Partial differential equation
Numerical analysis
Sufficient condition
Elliptic equation
Boundary value problem
Numerical solution
Convergence rate
Finite difference method
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary:This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2006.01.011