اله بخش یزدانی چراتی

In this paper, we study the use of finite volume element method and see how we can employ finite element bases to numerical solution of nonlinear time fractional Cable equation in one dimension. Finite element bases are as linear polynomials which are compactly supported. Caputo in the proposed scheme constitutes the fractional derivative. This scheme will be analyzed and the stability of the method will be discussed. Furthermore, the numerical results are compared with analytical solution to ascertain how accurate the presented method is.