@article{Adetona_Parumasur_Singh_2024, title={Solution of the Space Fractional Diffusion Equation Using Quadratic B-Splines and Collocation on Finite Elements}, volume={5}, url={https://ojs.wiserpub.com/index.php/CM/article/view/3900}, DOI={10.37256/cm.5220243900}, abstractNote={<p>In this paper, we consider the solution of the space fractional diffusion equation using orthogonal collocation on finite elements (OCFE) with quadratic B-spline basis functions. The main advantage of quadratic B-splines is that they have good interpolating properties and can be easily adapted for solving problems on non-uniform grids. The method is unconditionally stable and its convergence is also discussed. It is of order (3 − <em>α</em>) for 1 &lt; <em>α</em> &lt; 2. We present various linear and nonlinear examples. The solutions compared favourably with previous results in the literature.</p>}, number={2}, journal={Contemporary Mathematics}, author={Adetona, R. A. and Parumasur, N. and Singh, P.}, year={2024}, month={Apr.}, pages={1232–1256} }