Convergence analysis for an iterative method for solving nonlinear parabolic systems
β Scribed by Mohammed Al-Refai
- Book ID
- 108175463
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 127 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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
A nonlinear iteration method named the Picard-Newton iteration is studied for a twodimensional nonlinear coupled parabolic-hyperbolic system. It serves as an efficient method to solve a nonlinear discrete scheme with second spatial and temporal accuracy. The nonlinear iteration scheme is constructed
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 co