Transformadas integrais e aplicações
This work consists in a study about integral transform methods, in particular the Laplace, Fourier and Hankel transforms, their properties and applications in the resolution of differential equations, as well as the study of solutions of the differential equations by the Green's functions metho...
| Autor principal: | Asakawa, Tayssa Carolina Baccin |
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| Formato: | Trabalho de Conclusão de Curso (Graduação) |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2023
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/30477 |
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| Resumo: |
This work consists in a study about integral transform methods, in particular the Laplace, Fourier and Hankel transforms, their properties and applications in the resolution of differential equations, as well as the study of solutions of the differential equations by the Green's functions method. We study solutions of ordinary and partial differential equations that involve integral transformations that are not usually addressed in Mathematics undergraduate courses. As an application of the studies carried out, we present the tools of integral transforms applied in Physics, using speci fic techniques that are not covered on undergraduation. |
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