نتایج جستجو برای: quasilinearization

تعداد نتایج: 236  

2004
J. I. Ramos

Piecewise quasilinearization methods for singular boundary-value problems in second-order ordinary differential equations are presented. These methods result in linear constant-coefficients ordinary differential equations which can be integrated analytically, thus yielding piecewise analytical solutions. The accuracy of the globally smooth piecewise quasilinear method is assessed by comparisons...

2005
Bashir Ahmad Uzma Naz Rahmat A. Khan

The generalized quasilinearization technique has been employed to obtain a sequence of approximate solutions converging monotonically and rapidly to a solution of the nonlinear Neumann boundary value problem.

Journal: :Computer Physics Communications 2006

2001
V. B. Mandelzweig

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method of solving nonlinear ordinary differential equations could be proved are formulated and elaborated. The generalization of the proof to partial differential equations is straight forward. The method, whose mathematical basis in physics was discussed recently by one of the present ...

Journal: :CoRR 2016
Ivanka Tr. Angelova Lubin G. Vulkov

We propose a new two-grid approach based on Bellman-Kalaba quasilinearization [6] and Axelsson [4]-Xu [30] finite element two-grid method for the solution of singularly perturbed reaction-diffusion equations. The algorithms involve solving one inexpensive problem on coarse grid and solving on fine grid one linear problem obtained by quasilinearization of the differential equation about an inter...

2014
Hussein Jaddu Milan Vlach P. A. Frick D. J. Stech G. Elnagar M. Kazemi H. R. Sirisena M. A. Tavallaei B. Tousi

In this paper the quasilinearization technique along with the Chebyshev polynomials of the first type are used to solve the nonlinear-quadratic optimal control problem with terminal state constraints. The quasilinearization is used to convert the nonlinear quadratic optimal control problem into sequence of linear quadratic optimal control problems. Then by approximating the state and control va...

Journal: :Computers & Mathematics with Applications 1986

1997
JUAN J. NIETO

We study the existence and approximation of solutions for a nonlinear second order ordinary differential equation with Dirichlet boundary value conditions. We present a generalized quasilinearization technique to obtain a sequence of approximate solutions converging quadratically to a solution.

Journal: :Appl. Math. Lett. 2005
Ferhan Merdivenci Atici Serap Gulsan Topal

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

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