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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |