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Newton's method and nonlinear boundary value problems

✍ Scribed by W.L. McCandless

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
566 KB
Volume
48
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Newton's method and boundary value probl
Newton's method and boundary value problems
✍ H.A. Antosiewicz πŸ“‚ Article πŸ“… 1968 πŸ› Elsevier Science 🌐 English βš– 920 KB

formulations of Newton's method abound in the literature (see, e.g., [2], [6], [8], [12], [13]). Our aim here is twofold: to present in a unified setting a number of old and some new results that may be of particular interest in applications, and to discuss as illustrations two numerical techniques

Numerov's method for strongly nonlinear
Numerov's method for strongly nonlinear two-point boundary value problems
✍ Yuan-Ming Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 372 KB

By in proper transformation, a class of strongly nonlinear two-point boundary value problems are transformed into semilinear problems so that the well-known Numerov's method can be applied. Some applications and numerical results are presented to demonstrate the efficiency of the approach.

Boundary value problems associated with
Boundary value problems associated with Newton's law of cooling
✍ C. Constanda πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 197 KB

The existence of unique classical solutions is proved for the boundary integral equations arising in the interior and exterior Robin problems that model the steady-state temperature distribution in a thermally uniform cylinder with Newton's law of cooling on the contour.