The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation

Abstract

Journal Article The fundamental solution and numerical solution of the Riesz fractional advection–dispersion equation Get access S. Shen, S. Shen School of Mathematical Sciences, HuaQiao University, Quanzhou, Fujian, China Search for other works by this author on: Oxford Academic Google Scholar F. Liu, F. Liu † School of Mathematical Sciences, Queensland University of Technology, Queensland 4001, Australia and School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China †Email: [e-mail] Search for other works by this author on: Oxford Academic Google Scholar V. Anh, V. Anh School of Mathematical Sciences, Queensland University of Technology, Queensland 4001, Australia Search for other works by this author on: Oxford Academic Google Scholar I. Turner I. Turner School of Mathematical Sciences, Queensland University of Technology, Queensland 4001, Australia Search for other works by this author on: Oxford Academic Google Scholar IMA Journal of Applied Mathematics, Volume 73, Issue 6, December 2008, Pages 850–872, https://doi.org/10.1093/imamat/hxn033 Published: 03 October 2008 Article history Received: 29 November 2006 Revision received: 04 October 2007 Accepted: 28 August 2008 Published: 03 October 2008