New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors
نویسندگان
چکیده
منابع مشابه
New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors
In this paper, we introduce and study a class of new Picard-Mann iterative methods with mixed errors for common fixed points of two different nonexpansive and contraction operators. We also give convergence and stability analysis of the new Picard-Mann iterative approximation and propose numerical examples to show that the new Picard-Mann iteration converges more effectively than the Picard ite...
متن کاملIterative Parallel Methods for Boundary Value Problems
A bordered almost block diagonal system (BABD) results from discretizing and linearizing ordinary diierential equation (ODE) boundary value problems (BVPs) with non-separated boundary conditions (BCs) by either spline collocation, nite diierences, or multiple shooting. After internal condensation, if necessary, this BABD system reduces to a standard-nite diierence BABD structure. This system ca...
متن کاملIterative Schemes for Nonsymmetric and Indefinite Elliptic Boundary Value Problems
The purpose of this paper is twofold. The first is to describe some simple and robust iterative schemes for nonsymmetric and indefinite elliptic boundary value problems. The schemes are based in the Sobolev space Hl (ii) and require minimal hypotheses. The second is to develop algorithms utilizing a coarse-grid approximation. This leads to iteration matrices whose eigenvalues lie in the right h...
متن کاملSPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.
متن کاملElliptic Boundary-Value Problems
In the first part of this chapter we focus on the question of well-posedness of boundary-value problems for linear partial differential equations of elliptic type. The second part is devoted to the construction and the error analysis of finite difference schemes for these problems. It will be assumed throughout that the coefficients in the equation, the boundary data and the resulting solution ...
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: Boundary Value Problems
سال: 2017
ISSN: 1687-2770
DOI: 10.1186/s13661-017-0914-6