Extended Monotone Methods for Hyperbolic Problems in Three Variables

—We consider Initial-Boundary value problems associated with nonlinear hyperbolic partial differential equation in three independent variables, in a general setting wherein the forcing function is a sum of two monotonic functions. Employing natural lower-upper and coupled lower-upper solutions, we develop iterative schemes which converge uniformly and monotonically to the minimal-maximal and coupled minimal-maximal solutions of the problem.

• Type: Conference
• Year: 2007
• Where: WCE
• Authors: J. O. Adeyeye, R. Okojie, S. G. Pandit
• Keywords: Coupled Minimal-maximal Solutions, Initial-Boundary Value Problems, Partial Differential Equation, WCE 2007, WCE 2008