Numerical analysis for distributed-order differential equations

By Kai Diethelm, Neville J. Ford. 2009

214 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e0cc5b3453363d41a93009058475f3485b021d56

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Maria Luísa Morgado
2. Magda Rebelo
3. Yury F. Luchko
4. Neville J. Ford
5. Lu´ıs L. Ferr´as
6. C. Sin
7. Kai Diethelm
8. Yuri Luchko

In Numerical Analysis

1. Maria Luísa Morgado
2. Magda Rebelo
3. Yury F. Luchko
4. Neville J. Ford
5. Lu´ıs L. Ferr´as
6. C. Sin
7. Kai Diethelm
8. Yuri Luchko

Citations in the corpus

• BOUNDARY VALUE PROBLEMS FOR THE GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATION OF DISTRIBUTED ORDER (2009, background): “order we refer the reader to the paper [5].”
• Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method (2017, methodology): “With the growing interest on this type of equation, numerical methods started being developed, for example in the work by Diethelm and Ford [16] where they present a basic framework for the numerical solution of distributed order differential equations (see also [17, 18]).”
• Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations (2009, unknown): “Further, as has been remarked by Diethelm and Ford in [12], these alternative formulations are actually mathematically equivalent to the use of Method 1 (described below), combined with the use of a fractional multistep method.”