Introduction
The exact root word to a boundary pry problem can rarely be found evening if the governing differential equation is a linear one. The mortal division is essentially a powerful numerical system for obtaining guess solutions to boundary prise problems in which approximate exertion solutions are used. If , in one dimension, or in both dimensions denotes the unknown exact solution to a boundary determine problem then we shall denote approximate ravel solution by or .
The label impermanent divisor order first appeared in 1960, when it was used by Clough [6] in a paper on plane elasticity problems, the ideas of finite element analysis date back a good deal further.
The finite element method is a numerical analysis technique for obtaining approximate solutions to a wide variety of engineering problems. Although originally highly-developed to study stresses in complex airframe structures, it has since been extended and applied to the all-inclusive field of continuum mechanics. Because of its diversity and flexibility as an analysis tool, it is receiving much attention in engineering schools and in industry.
One of the major(ip) feature of the Finite Element Method is the subdivision of the playing area of the problem into smaller regions or elements and the construction of simple trial solutions within each element.
However, long prior to the development of finite element, various numerical techniques has been developed for solving boundary value problems with out subdivision. One of the methods based on Weighted remnant techniques.
Summary
This thesis is organized by four chapters. In Chapter 1, the macrocosm and summary are included. In chapter 2, first we discuss the Galerkin dull residual method to approximate the numerical solutions of BVP. On the founding of the concept of the Galerkin Method, modified Galerkin method is developed for which the trial solutions strike only to satisfy the homogeneous boundary conditions.
The Bernstein polynomials are...If you want to arrest a full essay, order it on our website: Ordercustompaper.com
If you want to get a full essay, wisit our page: write my paper
No comments:
Post a Comment