1. Fasshauer G.E. (2007). Meshfree Approximation Methods with MATLAB, World Scientific Publishing Co., Singapore.
2. Bayona, V., et al. (2010). RBF-FD formulas and convergence properties, Journal of Computational Physics, 229 (22), 8281-8295.
3. Golbabai, A. and Mohebianfar E. (2017). A new method for evaluating options based on multiquadric RBF-FD method, Applied Mathematics and Computation, 308, 130-141.
4. Davydov, O. and Dang T.O. (2011). On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation, Computers & Mathematics with Applications, 62 (5), 2143-2161.
5. Flyer, N., Gregory A.B. and Louis J.W. (2016). Enhancing finite differences with radial basis functions: experiments on the Navier–Stokes equations, Journal of Computational Physics, 316, 39-62.
6. Barfeie, M., Soheili, A.R. and Arab Ameri M. (2013). Application of variational mesh generation approach for selecting centers of radial basis functions collocation method, Engineering Analysis with Boundary Elements, 37(12), 1567-1575.
7. Bayona, V., Miguel M. and Manuel K. (2012). Gaussian RBF-FD weights and its corresponding local truncation errors, Engineering Analysis with Boundary Elements, 36(9), 1361-1369.
8. Bayona V., Moscoso M., Carretero M., Kindelan M. (2010). RBF-FD formulas and convergence properties, Journal of Computational Physics, 229(82), 81–95.
9. Soleymani, F., Barfeie M. and Khaksar Haghani F. (2018). Inverse multi-quadric RBF for computing the weights of FD method: Application to American options, Communications in Nonlinear Science and Numerical Simulation, 64, 74-88.
10. Wright G.B., Fornberg B., (2006). Scattered node compact finite difference-type formulas generated from radial basis functions, Journal of Computational Physics, 212, 99-123.
11. Wang, J.G., and Liu G.R. (2002). On the optimal shape parameters of radial basis functions used for 2-D meshless methods, Computer Methods in Applied Mechanics and Engineering, 191(23), 2611-2630.
12. S. Sabermahani, Y. Ordokhani, S.A. Yousefi, Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations, Comp. Appl. Math., 37 (2018), 3846-386
13. S. Sabermahani, Y. Ordokhani, S.‑A. Yousefi, Fractional‑order Fibonacci‑hybrid functions approach for solving fractional delay differential equations, Engineering with Computers, 36 (2020), 795-806.
14. S. Sabermahani, Y. Ordokhani, S.A. Yousefi, Fractional-order general Lagrange scaling functions and their applications, BIT Numerical Mathematics, 60 (2020), 101-128.
15. S. Sabermahani, Y. Ordokhani, S.A. Yousefi, Two-dimensional Müntz–Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations, Computational and Applied Mathematics, 39 (2020), Art. ID: 111.
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