This paper deals with diffusion problems modeled by the equation a(t)u=x = ut, x > 0, t > O, u(x, O) = c(x) together with the boundary condition u(0, t) = b(t) or ux(O, t) = b(t). By using Fourier transforms, existence conditions and exact solutions of the above mixed problems are given.
✦ LIBER ✦
Exact solution of variable coefficient mixed hyperbolic partial differential problems
✍ Scribed by M.J. Rodriguez-Alvarez; G. Rubio; L. Jódar; A.E. Posso
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 151 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Exact solution of mixed problems for var
✍
L. Jódar; J. Pérez
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 349 KB
Remarks on cauchy's problem for hyperbol
✍
R. Courant; A. Lax
📂
Article
📅
1955
🏛
John Wiley and Sons
🌐
English
⚖ 321 KB
Remarks on a mixed boundary-value proble
✍
Sherwood C. Chu; J. B. Diaz
📂
Article
📅
1964
🏛
Springer
🌐
English
⚖ 409 KB
The cubic spline solution of practical p
✍
G.F. Raggett; J.A.R. Stone; S.J. Wisher
📂
Article
📅
1976
🏛
Elsevier Science
🌐
English
⚖ 876 KB
Uniqueness of solutions for systems of s
Uniqueness of solutions for systems of separated variable coefficient partial differential equations
✍
L. Jódar; D. Goberna
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 215 KB
In this paper, the uniqueness of solutions for systems of the type w~ = K(z, t)w=z, 0 < x < p, t > 0, subject to w(0, t) = ~(p, t) and w(z, O) = F(z) is studied. Here w and F are vectors and K(z, t) = P(x)Q(t), where P(z) and Q(t) are square real matrices satisfying some additional properties.
The cauchy problem and the mixed boundar
✍
James Conlan
📂
Article
📅
1959
🏛
Springer
🌐
English
⚖ 1019 KB