Title

An Analysis of Four Numerical Methods Used to Solve Boundary Value Problems

Publication Year

1976

Keywords

Engineering, boundary value problems, numerical, mathematics, problem-solving

Disciplines

Engineering | Mathematics | Physical Sciences and Mathematics

Abstract

Many numerical techniques have been developed for solving engineering and mathematical problems that cannot be solved analytically. The digital computer has stimulated the advancement of such techniques. Four of these methods are presented in this study--iteration, random walk, floating random walk, and the finite element method. Each of these methods has been used to solve Laplace's equation for the temperature distribution in a steel plate supporting a pipe carrying a heated fluid. The methods are analyzed by comparing their solution accuracy, storage requirements, and computation time.

Department 1 Awarding Honors Status

Engineering

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