An Analysis of Four Numerical Methods Used to Solve Boundary Value Problems
Engineering, boundary value problems, numerical, mathematics, problem-solving
Engineering | Mathematics | Physical Sciences and Mathematics
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
Samuels, L. E. (1976). An Analysis of Four Numerical Methods Used to Solve Boundary Value Problems (Undergraduate honors thesis, University of Redlands). Retrieved from https://inspire.redlands.edu/cas_honors/365