On the convergence of a fourth-order method for a class of singular boundary value problems

✍ Scribed by R.K. Pandey; Arvind K. Singh

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 576 KB
• Volume: 224
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.06.005

✦ Synopsis

In the present paper we extend the fourth order method developed by Chawla et al.

[M.M. Chawla, R. Subramanian, H.L. Sathi, A fourth order method for a singular twopoint boundary value problem, BIT 28 (1988) 88-97] to a class of singular boundary value problems

The order of accuracy of the method is established under quite general conditions on f (x, y) and is also verified by one example. The oxygen diffusion problem in a spherical cell and a nonlinear heat conduction model of a human head are presented as illustrative examples. For these examples, the results are in good agreement with existing ones.