A numerical method for solving boundary value problems for fractional differential equations
By Mujeeb Ur Rehman, Rahmat Ali Khan. 2012
150 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/6406843b4dff7c1c05266e677580a1098eedc003
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
- Somayeh Mashayekhi
- Mohamed Ali Hajji
- Ali H. Bhrawy
- Ş. Yüzbaşı
- Q. Al‐Mdallal
- Gokul Hariharan
- K. Kannan
- Mohsen Razzaghi
In Numerical Analysis
- Somayeh Mashayekhi
- Ali H. Bhrawy
- Ş. Yüzbaşı
- Mohsen Razzaghi
- Mohamed Ali Hajji
- Gokul Hariharan
- K. Kannan
- Q. Al‐Mdallal
Citations in the corpus
- Numerical solution of the fractional Bagley‐Torvik equation by using hybrid functions approximation (2016, methodology): “(22) and (24) with the following conditions given in [13] and [48]:”
- A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations (2013, methodology): “Several methods have been proposed in the literature to solve these problems, such as piecewise polynomial collocation [8], Haar wavelet method [9], Legendre wavelet method [10,11], second kind Chebyshev wavelet method [12], spectral tau and collocation methods [13–16], Spline collocation method [17”
- GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS (2015, methodology): “The method is implement on number of problems and numerical results are compared with solutions obtained by some other numerical techniques [30, 37] and exact solutions as well.”
- Numerical solution of the Bagley–Torvik equation by the Bessel collocation method (2013, methodology): “Also, some fractional differential equations have been solved by applying the various methods such as the pseudospectral scheme [8], the Chebyshev spectral methods [9], the operational matrix method [10], the Haar wavelet method [11], the Adomian decomposition method [12, 13], the Legendre wavelets ”
- A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, methodology): “These techniques include the Adomian’s decomposition method [33], the homotopy perturbation method [6, 3, 42], the variation iteration method [26], the variational iteration method considering Adomian’s polynomials approximation for nonlinear terms [23], the fractional differential transform method ”
- An Overview of Haar Wavelet Method for Solving Differential and Integral Equations (2013, methodology): “Mujeeb ur Rehman and Rahmat Ali Khan, 2011.”