Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
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, a...
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| Format: | Article |
| Language: | English |
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Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000190 |
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| _version_ | 1850164316129460224 |
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| author | G. Adomian |
| author_facet | G. Adomian |
| author_sort | G. Adomian |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ea7e262b372544a894c1064f85edbf5e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea7e262b372544a894c1064f85edbf5e2025-08-20T02:22:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112113714310.1155/S0161171289000190Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equationsG. Adomian0Center for Applied Mathematics, University of Georgia, Athens 30602, GeorgiaThe 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.http://dx.doi.org/10.1155/S0161171289000190 |
| spellingShingle | G. Adomian Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations International Journal of Mathematics and Mathematical Sciences |
| title | Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations |
| title_full | Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations |
| title_fullStr | Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations |
| title_full_unstemmed | Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations |
| title_short | Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations |
| title_sort | application of decomposition to hyperbolic parabolic and elliptic partial differential equations |
| url | http://dx.doi.org/10.1155/S0161171289000190 |
| work_keys_str_mv | AT gadomian applicationofdecompositiontohyperbolicparabolicandellipticpartialdifferentialequations |