richard haberman elementary applied partial differential equations with fourier series and boundary value problems 1987

Ngày tải lên: 12/06/2014, 16:17

... nonlinear fractional differential equation. Bound Value Probl 2009, 18 (2009). (Article ID 324561) Ahmad and Nieto Boundary Value Problems 2011, 2011:36 http://www.boundaryvalueproblems.com/content/2011/1/36 Page ... equation Ahmad and Nieto Boundary Value Problems 2011, 2011:36 http://www.boundaryvalueproblems.com/content/2011/1/36 Page 2 of 9 RESEARC H Open Access Rieman...

Ngày tải lên: 20/06/2014, 22:20

... results, associated with the maximum principles in contrast with the cases of ordinary and even partial differential equations, do not add so much in problems of existence and uniqueness for boundary value problems ... existence and uniqueness of solutions of boundary value problems for these equations without the standard assumption about smallness of the norms of...

Ngày tải lên: 22/06/2014, 03:20

Ngày tải lên: 12/06/2014, 16:16

... America). Chapter 19. Partial Differential Equations 19.0 Introduction The numerical treatment of partial differential equations is, by itself, a vast subject. Partial differential equations are at ... initial value problems just don’t work — they are numerically unstable. Boundary Value Problems The questions that define a boundary value problem are: • What are...

Ngày tải lên: 28/10/2013, 22:15

... §19.4), but they do not work well for problems with discontinuities. CITED REFERENCES AND FURTHER READING: Ames, W.F. 1977, Numerical Methods for Partial Differential Equations , 2nd ed. (New York: Academic ... [14] Boyd, J.P. 1989, Chebyshev and Fourier Spectral Methods (New York: Springer-Verlag). [15] 19.1 Flux-Conservative Initial Value Problems A large class of initia...

Ngày tải lên: 07/11/2013, 19:15

... that Planck’s constant ¯h = 1and the particle mass m =1/2.) One is given the initial wavepacket, ψ(x, t =0), together with boundary 852 Chapter 19. Partial Differential Equations Sample page from ... Ching, Y.S., and Abraham, E. 1984, American Journal of Physics , vol. 52, pp. 60– 68. [2] 19.3 Initial Value Problems in Multidimensions The methods described in §19.1 and §19....

Ngày tải lên: 15/12/2013, 04:15

... Differential Equations , 2nd ed. (New York: Academic Press). 19.4 Fourier and Cyclic Reduction Methods for Boundary Value Problems As discussed in §19.0, most boundary value problems (elliptic equations, ... initial value problems to boundary value problems. These will occupy us for the remainder of the chapter. CITED REFERENCES AND FURTHER READING: Ames, W.F....

Ngày tải lên: 15/12/2013, 04:15

... Differential Equations , 2nd ed. (New York: Academic Press). 19.4 Fourier and Cyclic Reduction Methods for Boundary Value Problems As discussed in §19.0, most boundary value problems (elliptic equations, ... initial value problems to boundary value problems. These will occupy us for the remainder of the chapter. CITED REFERENCES AND FURTHER READING: Ames, W.F....

Ngày tải lên: 15/12/2013, 04:15

... left-hand sides of equations (19.5.36) and (19.5.37) are tridiagonal (and usually positive definite), so the equations can be solved by the 19.5 Relaxation Methods for Boundary Value Problems 865 Sample ... the optimum value ω empirically on the first equation and then use that value for the remaining equations. Various automated schemes for doing this and for “seeking out...

Ngày tải lên: 15/12/2013, 04:15