Numerical solutions and error estimations for the space fractional diffusion equation with variable coefficients via Fibonacci collocation method
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[1] Suayip Yüzbasi,et al. Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method , 2013, Appl. Math. Comput..
[2] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[3] S. Yalçınbaş,et al. A Matrix Approach to Solving Hyperbolic Partial Differential Equations Using Bernoulli Polynomials , 2016 .
[4] S. Yalçınbaş,et al. A New Algorithm for the Numerical Solution of Telegraph Equations by Using Fibonacci Polynomials , 2016 .
[5] M. Sezer,et al. A Chebyshev Series Approximation for Linear Second- Order Partial Differential Equations with Complicated Conditions , 2013 .
[6] Mark M. Meerschaert,et al. A second-order accurate numerical approximation for the fractional diffusion equation , 2006, J. Comput. Phys..
[7] M. Sezer,et al. FIBONACCI COLLOCATION METHOD FOR SOLVING LINEAR DIFFERENTIAL - DIFFERENCE EQUATIONS , 2013 .
[8] Mehdi Dehghan,et al. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices , 2006, Math. Comput. Simul..
[9] M. Khader. On the numerical solutions for the fractional diffusion equation , 2011 .
[10] Ibrahim Çelik,et al. Collocation method and residual correction using Chebyshev series , 2006, Appl. Math. Comput..
[11] F. Oliveira. Collocation and residual correction , 1980 .
[12] M. Çevik. APPLICATION OF TAYLOR MATRIX METHOD TO THE SOLUTION OF LONGITUDINAL VIBRATION OF RODS , 2010 .
[13] Necdet Bildik,et al. Linear vibrations of continuum with fractional derivatives , 2013 .
[14] Mehdi Dehghan,et al. A tau approach for solution of the space fractional diffusion equation , 2011, Comput. Math. Appl..
[15] Mehmet Sezer,et al. Bernstein series solution of linear second‐order partial differential equations with mixed conditions , 2014 .
[16] S. Shahmorad,et al. Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the Tau method with an error estimation , 2005, Appl. Math. Comput..
[17] Mehmet Sezer,et al. A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation , 2011, Appl. Math. Lett..
[18] Mehmet Sezer,et al. Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations , 2013, Int. J. Math. Math. Sci..