期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 52, 期 3-4, 页码 626-636出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.04.009
关键词
Singular boundary value problems; Cubic B-spline collocation; Decomposition method; Physiology applications
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.
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