Convergence and nonnegativity of numerical methods for an integrodifferential equation describing batch grinding

✍ Scribed by G. Stoyan; C. Mihálykó; Z. Ulbert

• Book ID: 104353315
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 890 KB
• Volume: 35
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(98)00097-2

✦ Synopsis

As a mathematical model for batch grinding we consider an integrodifferential equation of Volterra type (see (l),(2) below). Under appropriate conditions we investigate generalized solutions to this equation and semidiscretize it using a Galerkin method. We prove convergence of the semidiscretization &d of the fully discretized scheme. We also investigate mass conservation and preservation of nonnegativity of the numerical solutions.