Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645584 | Applied Numerical Mathematics | 2011 | 18 Pages |
Abstract
This paper is concerned with obtaining the approximate solution of a class of semi-explicit Integral Algebraic Equations (IAEs) of index-2. A Jacobi collocation method including the matrix–vector multiplication representation is proposed for the IAEs of index-2. A rigorous analysis of error bound in weighted L2 norm is also provided which theoretically justifies the spectral rate of convergence while the kernels and the source functions are sufficiently smooth. Results of several numerical experiments are presented which support the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics