SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS
Dispersion occurs when waves of different wavelengths travel at different speeds. This caused a wave packet with mixed wavelengths to spread out in space. Dispersive equations have many applications in physics. In this article, we will discuss two dispersive differetial equations, the Korteweg-de...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/63336 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Dispersion occurs when waves of different wavelengths travel at different speeds.
This caused a wave packet with mixed wavelengths to spread out in space.
Dispersive equations have many applications in physics.
In this article, we will discuss two dispersive differetial equations, the Korteweg-de
Vries (KdV) equation and a Fisher’s equation. Both equations will be analytically
solved with modified simple equation method. We will also apply spectral methods
in solving the KdV equation numerically. |
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