An Analysis of Several Methods for Approximately Solving the Mechanical Alloying Equation
Document Type
Article
Publication Date
1-1-1989
Abstract
The methods of Picard iteration, power series expansion, perturbation and discretization are applied to a quadratic integrodifferential evolution equation describing an ensemble of particles undergoing concurrent fracture and coalescence. Though the methods are standard, new and improved error bounds and convergence rates are obtained because of the introduction of the total ensemble volume, Vo, into the equation. The problem can then be formulated in function spaces over [o,Vo] instead of [o,∞), permitting much stronger results. © 1989, Taylor & Francis Group, LLC. All rights reserved.
Publication Title
Applicable Analysis
Recommended Citation
Hilgers, J.
(1989).
An Analysis of Several Methods for Approximately Solving the Mechanical Alloying Equation.
Applicable Analysis,
34(3-4), 139-165.
http://doi.org/10.1080/00036818908839891
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9070