The method of inner boundary condition for singular boundary value problems

Authors:
A. S. V. Ravi Kanth;Y. N. Reddy
Affiliations:
Department of Mathematics, Regional Engineering College, Warangal (AP) 506 004, India;Department of Mathematics, Regional Engineering College, Warangal (AP) 506 004, India
Venue:
Applied Mathematics and Computation
Year:
2003

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Abstract

A method of inner boundary condition is presented for solving two-point singular boundary value problem. The original interval is divided into two parts. An inner boundary condition is obtained by using a series solution. Then, a special finite difference method of order two is employed to solve the problem in the interval [δ,1]. The method is implemented on several numerical examples and results are compared with exact solutions.