Jacobi spectral solution for integral algebraic equations of index-2

Authors:
M. Hadizadeh;F. Ghoreishi;S. Pishbin
Affiliations:
Department of Mathematics, K.N. Toosi University of Technology, Tehran, Iran;Department of Mathematics, K.N. Toosi University of Technology, Tehran, Iran;Department of Mathematics, K.N. Toosi University of Technology, Tehran, Iran
Venue:
Applied Numerical Mathematics
Year:
2011

Citing 6
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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 L^2 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.