Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative
Amer Abdulhussein Mohammed Ghuraibawi,
H. R. Marasi,
M. H. Derakhshan
et al.
Abstract:In this article, we derive a computational scheme joining the finite difference and operational matrix methods to numerically simulate fractional differential equations of distributed order with Riesz derivatives subject to the initial and Dirichlet boundary conditions. The finite difference method is used to discretize Riesz‐space fractional derivatives, and the operational matrix method is based on fractional shifted Gegenbauer functions for the approximation of time derivatives. The derived method transform… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.