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G. Adomian, "Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations", International Journal of Mathematics and Mathematical Sciences, vol. 12, Article ID 793547, 7 pages, 1989. https://doi.org/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.
Copyright
Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
