Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline
The authors consider the approximation of time-fractional diffusion equations in one space dimension using tension spline. The fractional time derivative is given in the Caputo sense. The numerical scheme is based on the use of the Crank-Nicolson method. The conditional stability is proved. A convergence analysis using the Fourier series method is presented. Some numerical examples are presented to support the theoretical results.
scientific article; zbMATH DE number 6945625
scientific article