On discrete boundary value problems arising in transport phenomena

DOI10.1016/0096-3003(94)90105-8zbMath0789.65067OpenAlexW1963775730MaRDI QIDQ1316130

Peter Y. H. Pang, Ravi P. Agarwal

Publication date: 13 June 1994

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90105-8

zbMATH Keywords

numerical examplescomparison resultsdiscrete boundary value problemstransport processesmaximal and minimal solutionsmonotone iterative methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Monotone iterative methods for a general class of discrete boundary value problem ⋮ Monotone methods for higher-order partial difference equations ⋮ Monotone methods for a boundary value problem of second-order discrete equation ⋮ Montone enclosure for a class of discrete boundary value problems without monotone nonlinearities ⋮ Remarks on periodic boundary value problems of first order discrete systems ⋮ Accelerated monotone iterative methods for a boundary value problem of second-order discrete equations ⋮ Parallel monotone iterative relaxation methods for a class of two-dimensional discrete boundary value problems ⋮ Some recent developments of Numerov's method

Cites Work

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• Monotone method for nonlinear boundary value problems arising in transport processes
• Monotone method for equations describing transport phenomena in a Banach space
• Periodic boundary value problems for first and second order discrete systems
• Successive approximations for a time dependent scattering process
• Discrete polynomial interpolation, Green's functions, maximum principles, error bounds and boundary value problems
• A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions
• Time dependent scattering processes and invariant imbedding
• An iterative method for solving a two-point boundary-value problem

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