Publicado

1969-01-01

Partial differential equations with non-homogenous boundary conditions

Palabras clave:

Differential equations, method of separation of variables, inhomogenous, Advanced calculus (es)

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Autores/as

  • René W. Sandoval Universidad Central del Ecuador

Boundary value problems of partial differential equations are very often solved by the method of «separation of variables» or Fourier method. The method can be used without any difflculty in homogenous problems, that is, in prohlems where de differential equation and the boundary conditions are homogenous. Most of the textbooks concentrate their attention on such problems and for the inhomogenous case they merely' suggest using an integral transform procedure. Nevertheless the Fourier method may be extented to treat the inhomogenous problems. A recent text by Tolstov (see reference 1), treats the case when the differential equation is not homogenous but not the case when the boundary conditions are also inhomogenous. Kaplan (see reference 2), in his Advanced Calculus treats relatively simple cases of inhomogenous boundary conditions.

Cómo citar

APA

Sandoval, R. W. (1969). Partial differential equations with non-homogenous boundary conditions. Revista Colombiana de Matemáticas, 3(1), 1–23. https://revistas.unal.edu.co/index.php/recolma/article/view/31712

ACM

[1]
Sandoval, R.W. 1969. Partial differential equations with non-homogenous boundary conditions. Revista Colombiana de Matemáticas. 3, 1 (ene. 1969), 1–23.

ACS

(1)
Sandoval, R. W. Partial differential equations with non-homogenous boundary conditions. rev.colomb.mat 1969, 3, 1-23.

ABNT

SANDOVAL, R. W. Partial differential equations with non-homogenous boundary conditions. Revista Colombiana de Matemáticas, [S. l.], v. 3, n. 1, p. 1–23, 1969. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/31712. Acesso em: 29 mar. 2024.

Chicago

Sandoval, René W. 1969. «Partial differential equations with non-homogenous boundary conditions». Revista Colombiana De Matemáticas 3 (1):1-23. https://revistas.unal.edu.co/index.php/recolma/article/view/31712.

Harvard

Sandoval, R. W. (1969) «Partial differential equations with non-homogenous boundary conditions», Revista Colombiana de Matemáticas, 3(1), pp. 1–23. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31712 (Accedido: 29 marzo 2024).

IEEE

[1]
R. W. Sandoval, «Partial differential equations with non-homogenous boundary conditions», rev.colomb.mat, vol. 3, n.º 1, pp. 1–23, ene. 1969.

MLA

Sandoval, R. W. «Partial differential equations with non-homogenous boundary conditions». Revista Colombiana de Matemáticas, vol. 3, n.º 1, enero de 1969, pp. 1-23, https://revistas.unal.edu.co/index.php/recolma/article/view/31712.

Turabian

Sandoval, René W. «Partial differential equations with non-homogenous boundary conditions». Revista Colombiana de Matemáticas 3, no. 1 (enero 1, 1969): 1–23. Accedido marzo 29, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/31712.

Vancouver

1.
Sandoval RW. Partial differential equations with non-homogenous boundary conditions. rev.colomb.mat [Internet]. 1 de enero de 1969 [citado 29 de marzo de 2024];3(1):1-23. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/31712

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