Iterative Method for Solving a Beam Equation with Nonlinear Boundary Conditions | Zendy

Đặng Quang Á | Zendy; Nguyen Thanh Huong | Zendy

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Iterative Method for Solving a Beam Equation with Nonlinear Boundary Conditions

Author(s) -

Đặng Quang Á,

Nguyen Thanh Huong

Publication year - 2013

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2013/470258

Subject(s) - nonlinear system , mathematics , convergence (economics) , boundary value problem , iterative method , mathematical analysis , sequence (biology) , boundary (topology) , beam (structure) , order (exchange) , mathematical optimization , physics , optics , quantum mechanics , biology , economics , genetics , economic growth , finance

In this paper, we propose an iterative method for solving a beam problem which is described by a nonlinear fourth-order equation with nonlinear boundary conditions. The method reduces this nonlinear fourth-order problem to a sequence of linear second-order problems with linear boundary conditions. The convergence of the method is proved, and some numerical examples demonstrate the efficiency of the method

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