Abstract Generalized Quasilinearization Method for Coincidences with Applications to Elliptic Boundary Value Problems
نویسنده
چکیده
GENERALIZED QUASILINEARIZATION METHOD FOR COINCIDENCES WITH APPLICATIONS TO ELLIPTIC BOUNDARY VALUE PROBLEMS
منابع مشابه
Abstract Generalized Quasilinearization Method for Coincidences
Generalized Quasilinearization Method for Coincidences Adriana Buică and Radu Precup Faculty of Mathematics and Computer Science Babeş-Bolyai University 3400 Cluj, Romania [email protected], [email protected] Abstract An abstract unified theory of both monotone iterative and generalized quasilinearization methods is presented for operator equations of coincidence type in ordered Ban...
متن کاملGeneralized Quasilinearization Methodand Higher Order of Convergence for Second-order Boundary Value Problems
The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of 2-hyperconvex and 2-hyperconcave functions. We develop two sequences under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergence is of order 3. Finally, we provide numerical examples to sho...
متن کاملNumerical solution of variational problems via Haar wavelet quasilinearization technique
In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.
متن کاملThe generalized quasilinearization method and three point boundary value problems on time scales
The generalized quasilinearization method is applied to the threepoint boundary value problems on time scales, and two sequences could be constructed which converge uniformly to the unique solution and the convergence is quadratic. AMS Subject Classification: 34B10, 34B15
متن کاملApproximation of Solutions for Second-Order m-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization
We discuss the existence and uniqueness of the solutions of a second-order m-point nonlocal boundary value problem by applying a generalized quasilinearization technique. A monotone sequence of solutions converging uniformly and quadratically to a unique solution of the problem is presented.
متن کامل