Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
By Shaher Momani. 2006
186 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6605c6adf0745caf4c3a1cd31355844ebca87030
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
- V. S. Erturk
- Zaid M. Odibat
- Shaher Momani
- Ji-Huan He
- Saeed Kazem
- Ishak Hashim
- Mehdi Dehghan
- Mehmet Yavuz
In Numerical Analysis
- V. S. Erturk
- Zaid M. Odibat
- Shaher Momani
- Ji-Huan He
- Saeed Kazem
- Mehdi Dehghan
- Ishak Hashim
- Mehmet Yavuz
In Statistical and Nonlinear Physics
- Zaid M. Odibat
- V. S. Erturk
- Shaher Momani
- Ş. Yüzbaşı
- Hossein Aminikhah
- Ishak Hashim
- Mehmet Yavuz
- Q. Al‐Mdallal
Citations in the corpus
- AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER (2008, methodology): “The application of the two methods is successfully extended to obtain an analytical approximate solutions to linear and nonlinear differential equations of fractional order [24-28,32,45-47].”
- Numerical methods for nonlinear partial differential equations of fractional order (2008, background): “In these schemes, the solution takes the form of a convergent series with easily computable components.”
- Solving systems of fractional differential equations using differential transform method (2008, methodology): “Recently, theAdomian decomposition method and variational iteration method have been used for solving a wide range of problems [3,6,10–13,15–18,20].”
- A generalized differential transform method for linear partial differential equations of fractional order (2008, methodology): “The new generalization is based on the two-dimensional differential transform method, generalized Taylor’s formula and Caputo fractional derivative.”