  This paper presents a linear computational technique based on cubic
trigonometric cubic B-splines for time fractional burgers' equation. The
nonlinear advection term is approximated by a new linearization technique which
is very efficient and significantly reduces the computational cost. The usual
finite difference formulation is used to approximate the Caputo time fractional
derivative while the derivative in space is discretized using cubic
trigonometric B-spline functions. The method is proved to be globally
unconditionally stable. To measure the accuracy of the solution, a convergence
analysis is also provided. A convergence analysis is Computational experiments
are performed to further establish the accuracy and stability of the method.
Numerical results are compared with those obtained by a scheme based on
parametric spline functions. The comparison reveal that the proposed scheme is
quite accurate and effective.

Numerical Analysis