Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation
نویسندگان
چکیده
منابع مشابه
Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
متن کاملThe smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system
A meshless numerical technique is proposed for solving the generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system with electromagnetic fields. The employed meshless technique is based on a generalized smoothed particle hydrodynamics (SPH) approach. The spatial direction has been discretized with the generalized SPH technique. Thus, we obtain a system of ordinary...
متن کاملPreconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation
Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc. It is not always possible to find an analytical solution for such equations. The approximate solution or numerical scheme may be a good approach, particularly, the schemes in numerical linear algebra for solving ...
متن کاملNumerical Method for Three-parameter Eigenvalue Problems using Newtons method based on Trace Theorem
Atkinson, F. V. ,1972. 'Multiparameter Eigenvalue Problems', (Matrices and compact operators) Academic Press, New York, Vol. 1 Atkinson, F. V. , 1968. 'Multiparameter spectral theory', Bull. Am. Math. Soc. , Vol. 75, pp(1-28) Baruah, A. K. , 1987. 'Estimation of eigen elements in a two-parameter eigen value problem', Ph. D Thesis, Dibrugarh University, Assam. Bindi...
متن کاملApplication of iterative method for solving fuzzy Bernoulli equation under generalized H-differentiability
In this paper, the Picard method is proposed to solve the Bernoulli equation with fuzzy initial condition under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Finally an example shows the accuracy of this method.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2017
ISSN: 1052-6234,1095-7189
DOI: 10.1137/16m1098012