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Zbl 1201.65135
Khuri, S.A.; Sayfy, A.
A novel approach for the solution of a class of singular boundary value problems arising in physiology. (English)
[J] Math. Comput. Modelling 52, No. 3-4, 626-636 (2010). ISSN 0895-7177

Summary: 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.

MSC 2000:: *65L60 Finite numerical methods for ODE
92C30 Physiology

Keywords: singular boundary value problems; cubic B-spline collocation; decomposition method; physiology applications

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Zentralblatt MATH Berlin [Germany]