On the numerical solution of singular boundary value problems of second order by a difference method

Weinmüller, Ewa

doi:10.1090/S0025-5718-1986-0815834-X

On the numerical solution of singular boundary value problems of second order by a difference method
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Math. Comp. 46 (1986), 93-117 Request permission

Abstract:

The standard three-point discretization applied to the numerical solution of nonlinear boundary value problems for second-order systems with a singularity of the first kind is investigated. The results are extended to the boundary value problems arising in practical problems from mechanics and chemistry. A number of numerical examples illustrating the theoretical results is presented.

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