In this paper the finite difference method is applied to nonlinear parabolic and hyperbolic differential equations subject to initial and boundary value conditions. The resulting matrix system is solved by the alternating group explicit (AGE) method, the coupled AGE method and the reduced AGE method.
Galligani, Emanuele e Evans, D. J.. "The solution of nonlinear parabolic and hyperbolic equations by the AGE algorithms" Working paper, Department of Computer Studies, Loughborough University of Technology, 1993.
The solution of nonlinear parabolic and hyperbolic equations by the AGE algorithms
GALLIGANI, Emanuele;
1993
Abstract
In this paper the finite difference method is applied to nonlinear parabolic and hyperbolic differential equations subject to initial and boundary value conditions. The resulting matrix system is solved by the alternating group explicit (AGE) method, the coupled AGE method and the reduced AGE method.
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