APPLICATIONS OF MICKENS FINITE DIFFERENCES TO SEVERAL RELATED BOUNDARY VALUE PROBLEMS

DOI10.1142/9789812703316_0003zbMath1086.65100OpenAlexW4231206660MaRDI QIDQ3372235

Ron Buckmire

Publication date: 20 February 2006

Published in: Advances in the Applications of Nonstandard Finite Difference Schemes (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/07ade25cf7f9232040d9d14c947dbebf92e37d25

zbMATH Keywords

eigenvaluenumerical examplesbifurcationnonlinearsingularBratu problemnonstandard finite differencesGelfand problemMickens finite difference

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Estimates of eigenvalues in context of PDEs (35P15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Nonlinear ordinary differential operators (34L30) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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