Monotone method for first order nonlocal hyperbolic initial-boundary value problems

DOI10.1080/00036819708840612zbMath0897.35048OpenAlexW2047830843WikidataQ58283693 ScholiaQ58283693MaRDI QIDQ4385747

Keng Deng, Azmy S. Ackleh

Publication date: 26 October 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840612

zbMATH Keywords

comparison principlelinear convergenceconstruction of monotone sequences of upper and lower solutions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (10)

A free boundary problem for a class of nonlinear nonautonomous size-structured population model ⋮ Behavioral analysis of a nonlinear three-staged population model with age-size-structure ⋮ A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate ⋮ Application of Tikhonov's regularization method to solve inverse problems for two population models ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Existence-uniqueness and monotone approximation for an erythropoiesis age-structured model. ⋮ A monotone approximation for a size-structured population model with a generalized environment ⋮ Existence of equilibrium solutions to a size-structured predator-prey system with functional response ⋮ A monotone approximation for a nonlinear nonautonomous size-structured population model ⋮ Monotone scheme for nonlinear first-order hyperbolic initial-boundary value problems

Cites Work

• Numerical solution of the dynamic equation for particulate systems
• Transformation semigroups and \(L^ 1\)-approximation for size structured population models
• Modeling aggregation and growth processes in an algal population model: Analysis and computations
• Methods of nonlinear analysis. Vol. II
• Parameter estimation in a structured algal coagulation-fragmentation model

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