Convergence of an iterative method for solving a class of nonlinear equations
β Scribed by Wang, Xiuhua; Kou, Jisheng; Shi, Dongyang
- Book ID
- 121001531
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 572 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
Algebraic and differential equations generally co-build mathematical models. Either lack or intractability of their analytical solution often forces workers to resort to an iterative method and face the likely challenges of slow convergence, non-convergence or even divergence. This manuscript presen
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
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