Two Methods of Solving Heat and Wave Problems

Autores

  • R.T. Couto

DOI:

https://doi.org/10.5540/tema.2008.09.01.0063

Resumo

Two methods of solving a large class of heat and wave problems are described. The problems are two-dimensional and exhibit not only non-homogeneity of the differential equation and of the initial and boundary conditions but also time dependence of the sources and of the initial and boundary data. The two corresponding solutions are proved to be equal, and an illustration of the methods is provided by applying them to solve a specific problem using the polar coordinates.

Referências

[1] E. Butkov, “Mathematical Physics”, Addison-Wesley Publishing Company, Reading, Massachusetts, 1973.

F.B. Hildebrand, “Advanced Calculus for Applications”, Second Edition, Prentice-Hall, Englewood Cliffs, New Jersey, 1976.

J.D. Jackson, “Classical Electrodynamics”, John Wiley & Sons, Second Edition, New York, 1975.

F. John, “Partial Differential Equations”, Third Edition, Springer-Verlag, New York, 1978.

K.R. Symon, “Mechanics”, Third Edition, Addison-Wesley Publishing Company, Reading, Massachusetts, 1971.

E.C. Zachmanoglou, D.W. Thoe, “Introduction to Partial Differential Equations with Applications”, The Williams & Wilkins Company, Baltimore, 1976.

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Publicado

2008-06-01

Como Citar

Couto, R. (2008). Two Methods of Solving Heat and Wave Problems. Trends in Computational and Applied Mathematics, 9(1), 63–72. https://doi.org/10.5540/tema.2008.09.01.0063

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Seção

Artigo Original