Numerical Solutions of Third-Order Time-Fractional Differential Equations Using Cubic B-Spline Functions

Numerous fields, including the physical sciences, social and earth benefit greatly from application of fractional calculus (FC). The fractional-order derivative is developed integer-order derivative, in recent years, real-world modeling has performed better using derivative. Due to flexibility B-spline functions their capability for very accurate estimation equations, they have been employed as a solution interpolating polynomials partial differential equations (FPDEs). In this study, cubic (CBS) basis with new approximations are utilized numerical third-order equation. Initially, CBS finite difference scheme applied discretize spatial Caputo time derivatives, respectively. convergent numerically theoretically well being unconditionally stable. On variety problems, validity proposed technique assessed, results contrasted those reported literature.