Application of Decomposition to Hyperbolic, Parabolic, and Elliptic Partial Differential Equations

Abstract

The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearization techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convection-tiiffusion processes; and finally, an elliptic partial differential equation. © 1989, Hindawi Publishing Corporation. All rights reserved.