The decomposition method for linear, one-dimensional, time-dependent partial differential equations
The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/42389 |
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doaj-710c29bda2b648e89de1d86c4d4fc63a2020-11-24T21:03:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4238942389The decomposition method for linear, one-dimensional, time-dependent partial differential equationsD. Lesnic0Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UKThe analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics.http://dx.doi.org/10.1155/IJMMS/2006/42389 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
D. Lesnic |
| spellingShingle |
D. Lesnic The decomposition method for linear, one-dimensional, time-dependent partial differential equations International Journal of Mathematics and Mathematical Sciences |
| author_facet |
D. Lesnic |
| author_sort |
D. Lesnic |
| title |
The decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| title_short |
The decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| title_full |
The decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| title_fullStr |
The decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| title_full_unstemmed |
The decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| title_sort |
decomposition method for linear, one-dimensional,
time-dependent partial differential equations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
The analytical solutions for linear, one-dimensional,
time-dependent partial differential equations subject
to initial or lateral boundary conditions are reviewed and
obtained in the form of convergent Adomian decomposition power
series with easily computable components. The efficiency and power
of the technique are shown for wide classes of equations of
mathematical physics. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/42389 |
| work_keys_str_mv |
AT dlesnic thedecompositionmethodforlinearonedimensionaltimedependentpartialdifferentialequations AT dlesnic decompositionmethodforlinearonedimensionaltimedependentpartialdifferentialequations |
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