  In this work, a new collocation approach using a combination of a wavelet
operational matrix method and the exponential spline interpolation is proposed
to solve the time-fractional convection-diffusion equation with variable
coefficients. The operational matrix of fractional order integration is first
derived based on sine-cosine wavelet functions, which helps to convert the
underlying equation into a linear algebraic system. Then, an exponential
B-spline method is introduced in spatial direction. On selecting a set of
proper collocation points, the method in presence is evaluated on several test
problems and the numerical results finally illustrate its validity and
applicability.
