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A Volterra integral type method for solving a class of nonlinear initial-boundary value problems

✍ Scribed by Bartur Jumarhon; Wilson Lamb; Sean McKee; Tao Tang

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 614 KB
Volume: 12
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199603)12:2<265::aid-num8>3.0.co;2-o

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✦ Synopsis

It is observed that the one-dimensional heat equation with certain nonlinear boundary conditions can be reformulated as a system of coupled Volterra integral equations. A product trapezoidal scheme is proposed for the numerical solution of this integral equation system, and some numerical experiments are given to compare the performances of this integral equation approach and the Crank-Nicholson method applied to the original initial-boundary value problem 0 1996 John Wiley & Sons, Inc.

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