Sobre a Dedução da Equação da Onda e da Solução Segundo a Fórmula de Kirchhoff
DOI:
https://doi.org/10.5540/tema.2010.011.01.0049Abstract
Trata-se de novas deduções da equação da onda bem como da fórmulade Kirchhoff para a sua solução em meios sem fronteiras. Os métodos apresentados são suscetíveis de serem aplicáveis também no desenvolvimento de teorias não ondulatórias.References
[1] G.B. Arfken, H.J. Weber, “Física Matemática”, Campus, 6a ed., Rio de Janeiro, 2007.
E. Butkov, “Física Matemática”, LTC, Rio de Janeiro, 1988.
R.V. Churchill, J.W. Brown, “Fourier Series and Boundary Value Problems”, 3a ed., McGraw-Hill, 1978.
R. Courant, D. Hilbert, “Methods of Mathematical Physics”, vol. 2, Wiley-Interscience, 1962.
P.A.M. Dirac, “The Principles of Quantum Mechanics”, John Wiley & Sons, 2a ed., Nova Iorque, 1975.
F. John, “Partial Differential Equations”, 2a ed., Springer-Verlag, Nova Iorque, 1975.
M.J. Lighthill, “Fourier Analysis and Generalised Functions”, Cambridge U. P., Londres, 1964.
I.G. Petrovsky, “Lectures on Partial Differential Equations”, Interscience, 1954.
L. Schwartz, “Théorie des distributions”, Hermann, Paris, 1950.
W.A. Strauss, “Partial Differential Equations, An Introduction”, Wiley, 1992.
G.N. Watson, “A Treatise on the Theory of Bessel Functions”, 2a ed., Cambridge University Press, 1966.
E.C. Zachmanoglou, D.W. Thoe, “Introduction to Partial Differential Equations with Applications”, Dover, Nova Iorque, 1986.
Downloads
Published
How to Cite
Issue
Section
License
Copyright
Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.
Intellectual Property and Terms of Use
The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.
The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.