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

✍ Scribed by S.A. Khuri; A. Sayfy

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
386 KB
Volume
52
Category
Article
ISSN
0895-7177

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Positive solutions for a class of singul
Positive solutions for a class of singular semipositone boundary value problems
✍ S. StanΔ›k πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 571 KB

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0