A novel approach for the solution of a class of singular boundary value problems arising in physiology

A new approach implementing a modified decomposition method in combination with the cubic B-spline collocation technique is introduced for the numerical solution of a class of singular boundary value problems arising in physiology. The domain of the problem is split into two subintervals; a modified decomposition procedure based on a special integral operator is implemented in the vicinity of the singular point and outside this domain the resulting boundary value problem is tackled by applying the B-spline scheme. Performance of this method is examined numerically; the examples reveal that the current approach converges to the exact solution rapidly and with O(h(2)) accuracy. Results show that the method yields a numerical solution in very good agreement with the existing exact and approximate solutions. (C) 2010 Elsevier Ltd. All rights reserved.