Computational Study of Multiterm Time-Fractional Differential Equation Using Cubic B-Spline Finite Element Method

Finite Element Method for Linear Multiterm Fractional Differential Equations

Approximation of Burgers’ Equation Using B-spline Finite Element Method

In this paper we present a numerical scheme for solving Burgers equation using B-spline finite element method. Main advantages of the present technique are: it is simple, efficient and moreover easy to understand. Some numerical examples are considered to test the functioning of proposed scheme. Results obtained from the given method of solution are validated by means of comparisons made with t...

Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets

A numerical scheme, based on the cubic B-spline wavelets for solving fractional integro-differential equations is presented. The fractional derivative of these wavelets are utilized to reduce the fractional integro-differential equation to system of algebraic equations. Numerical examples are provided to demonstrate the accuracy and efficiency and simplicity of the method.

Numerical solution of fractional partial differential equations using cubic B-spline wavelet collocation method

Physical processes with memory and hereditary properties can be best described by fractional differential equations based on the memory effect of fractional derivatives. For that reason reliable and efficient techniques for the solution of fractional differential equations are needed. Our aim is to generalize the wavelet collocation method to fractional partial differential equations using cubi...

Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations

and Applied Analysis 3 Here B(I × Ω) is a Banach space with respect to the following norm: ‖V‖Bα/2(I×Ω) = (‖V‖ 2 Hα/2(I,L2(Ω)) + ‖V‖ 2 L2(I,H 1 0 (Ω)) ) 1/2 , (15) whereH(I, L2(Ω)) :={V; ‖V(t, L2(Ω) ∈ H α/2 (I)}, endowed with the norm ‖V‖Hα/2(I,L2(Ω)) := 󵄩󵄩󵄩󵄩 ‖V (t, L2(Ω) 󵄩󵄩󵄩󵄩Hα/2(I) . (16) Based on the relation equation between the left Caputo and the Riemann-Liouville derivative in [31], we c...