Monotone scheme for nonlinear first-order hyperbolic initial-boundary value problems

Applied Mathematics Letters

Volumn 13, Issue 5, 2000, Pages 111-119

  Ackleh, A S ^a   Deng, Keng ^a  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Hyperbolic IBVP; Monotone approximation; Upper lower solutions

Indexed keywords

EID: 3142591725     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00042-2     Document Type: Article

References (10)

1. Ackleh A.S. Modeling biological processes in aggregation of phytoplankton. Ph.D. Thesis. 1993;University of Tennessee, Knoxville, TN.
2. Aikman D.P. Modeling of growth and competition in plant monocultures. DeAngelis D.L., Gross L.J. Individual-Based Models and Approaches in Ecology. 1992;472-491 Chapman and Hall, London.
3. Ford E.D., Sorrensen K.A. Theory and models of inter-plant competition as a spatial process. DeAngelis D.L., Gross L.J. Individual-Based Models and Approaches in Ecology. 1992;363-407 Chapman and Hall, London.
4. Ackleh A.S., Deng K. Monotone method for first order nonlocal hyperbolic initial-boundary value problems. Applicable Anal. 67:1997;283-293.
5. Bellman R. Methods of Nonlinear Analysis. II:1973;Academic Press, New York.
6. Ladde G.S., Lakshmikantham V., Vatsala A.S. Monotone Iterative Techniques for Nonlinear Differential Equations. 1985;Pitman, Boston, MA.
7. Pao C.V. Nonlinear Parabolic and Elliptic Equations. 1992;Plenum Press, New York.
8. Banks H.T., Kappel F., Wang C. Weak solutions and differentiability for size structured population models. Internat. Ser. Numer. Math. 100:1991;35-50.
9. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. 1983;Springer-Verlag, New York.
10. Banks H.T., Kunisch K. Estimation Techniques for Distributed Parameter Systems. 1989;Birkhäuser, Boston, MA.