International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 137-143
doi:10.1155/S0161171289000190

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 linearizatlon techniques. We consider first a nonlinear dissipative wave equation; second, a nonlinear equation modeling convectlon-diffusion processes; and finally, an elliptic partial differential equation.