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A predictor--corrector scheme for the sine-Gordon equation

✍ Scribed by A. Q. M. Khaliq; B. Abukhodair; Q. Sheng; M. S. Ismail

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
264 KB
Volume
16
Category
Article
ISSN
0749-159X

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✦ Synopsis

A predictor-corrector scheme is developed for the numerical solution of the sine-Gordon equation using the method of lines approach. The solution of the approximating differential system satisfies a recurrence relation, which involves the cosine function. Pade' approximants are used to replace the cosine function in the recurrence relation. The resulting schemes are analyzed for order, stability, and convergence. Numerical results demonstrate the efficiency and accuracy of the predictor-corrector scheme over some well-known existing methods.

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