A mathematical theory for numerical treatment of nonlinear two-point boundary value problems

DOI10.1007/BF03167497zbMath1105.34009MaRDI QIDQ2493487

Tetsuro Yamamoto, Shin'ichi Oishi

Publication date: 19 June 2006

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodsexistence of solutiontwo-point boundary value problemsfixed-point theorems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (3)

On three theorems of Lees for numerical treatment of semilinear two-point boundary value problems ⋮ Quasilinearization numerical scheme for fully nonlinear parabolic problems with applications in models of mathematical finance ⋮ An interpretation of the Scharfetter-Gummel finite difference scheme

Cites Work

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• INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS^*
• On the rate of convergence of finite difference schemes on nonuniform grids
• Supra-Convergent Schemes on Irregular Grids
• The numerical solution of second-order boundary value problems on nonuniform meshes
• Homogeneous difference schemes of a high degree of accuracy on non-uniform nets

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