Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644830 | Applied Numerical Mathematics | 2016 | 11 Pages |
Abstract
We consider a class of boundary value problems for linear fractional weakly singular integro-differential equations which involve Caputo-type derivatives. Using an integral equation reformulation of the boundary value problem, we first study the regularity of the exact solution. Based on the obtained regularity properties and spline collocation techniques, the numerical solution of the boundary value problem by suitable non-polynomial approximations is discussed. Optimal global convergence estimates are derived and a super-convergence result for a special choice of grid and collocation parameters is given. A numerical illustration is also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Arvet Pedas, Enn Tamme, Mikk Vikerpuur,