Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems

Authors:
S. Chandra Sekhara Rao;Mukesh Kumar
Affiliations:
Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi-110 016, India;Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi-110 016, India
Venue:
Applied Numerical Mathematics
Year:
2008

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Abstract

We present an exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problem. The convergence analysis is given and the method is shown to have second order uniform convergence. Numerical experiments are conducted to demonstrate the efficiency of the method.