On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
By Haci Mehmet Baskonus, Hasan Bulut. 2015
142 citations recorded by the source corpus.
Abstract In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L2 nodal norm and L∞ maximum nodal norm to evaluate the accuracy of method used in this paper.
Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b23a53fa5d44a56fa6864a15a5bb2e9495d3a8e4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mechanics of Materials
In Modeling and Simulation
- Sunil Kumar
- Shaher Momani
- Samir Ben Hadid
- R. Chauhan
- Zaid M. Odibat
- Ji-Huan He
- Mehdi Dehghan
- Saeed Kazem
In Numerical Analysis
- Sunil Kumar
- Shaher Momani
- Samir Ben Hadid
- R. Chauhan
- Zaid M. Odibat
- Ji-Huan He
- Mehdi Dehghan
- Saeed Kazem
Citations in the corpus
- Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators (2020, background): “Many researchers have paid attention in scientific utilizations of these variable-order derivative operators to encounter the mathematical systems, which are modeled with these three types of kernels [10, 12, 18, 20, 22, 32, 37].”