Trotter products and reaction–diffusion equations

✍ Scribed by Emil Popescu

• Book ID: 104006690
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 381 KB
• Volume: 233
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.02.073

✦ Synopsis

In this paper, we study a class of generalized diffusion-reaction equations of the form

where A is a pseudodifferential operator which generates a Feller semigroup. Using the Trotter product formula we give a corresponding discrete time integro-difference equation for numerical solutions.