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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id-itb.:633362022-01-31T08:06:35ZSOLUTION OF EQUATION WITH DISPERSIVE RELATIONS Naufal Aushaf, Muhammad Indonesia Final Project Dispersive relations, KdV equation, Fisher’s equation, simple equation method, spectral method INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/63336 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. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
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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. |
| format |
Final Project |
| author |
Naufal Aushaf, Muhammad |
| spellingShingle |
Naufal Aushaf, Muhammad SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| author_facet |
Naufal Aushaf, Muhammad |
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Naufal Aushaf, Muhammad |
| title |
SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| title_short |
SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| title_full |
SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| title_fullStr |
SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| title_full_unstemmed |
SOLUTION OF EQUATION WITH DISPERSIVE RELATIONS |
| title_sort |
solution of equation with dispersive relations |
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https://digilib.itb.ac.id/gdl/view/63336 |
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1822276753929797632 |