An iterative method for solving nonlinear partial differential equations
β Scribed by J.W Neuberger
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 904 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
β¦ Synopsis
TO THE MEMORY OF PASQUALE PORCELLI A successive approximation process for a class of nth order nonlinear partial differential equations on EV,, is given. Analytic solutions are found by iteration. The pairing between initial estimates and limiting functions forms a basis for the study of boundary conditions.
π SIMILAR VOLUMES
x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini
The sequential estimation of the states of a process described by a set of nonlinear hyperbolic or parabolic partial differential equations subject to both stochastic input disturbances and measurement errors is considered. A functional partial differential equation of Hamilton-Jacobi type is derive
nonlinear evolution, and B is the M Ο« N dimensional noise term, which is a functional of , and multiplies an A robust semi-implicit central partial difference algorithm for the numerical solution of coupled stochastic parabolic partial differen-N dimensional real or complex Gaussian-distributed stot