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A monotone method for a system of nonlinear parabolic differential equations

Published online by Cambridge University Press:  14 November 2011

Jagdish Chandra ,
Francis G. Dressel  and
Paul Dennis Norman
Jagdish Chandra
Affiliation:
U.S. Army Research Office, Research Triangle Park, North Carolina 27709, U.S.A.
Francis G. Dressel
Affiliation:
U.S. Army Research Office, Research Triangle Park, North Carolina 27709, U.S.A.
Paul Dennis Norman
Affiliation:
Virginia Military Academy, Lexington, Virginia 24450, U.S.A.
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Synopsis

A monotone iteration scheme for the solution of the initial boundary problems associated with a system of semilinear parabolic differential equations has been developed that does not require the nonlinearities to be quasimonotone. The class of equations to which this scheme applies includes physical models that describe combustion processes involving Arrhenius reaction terms.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 209 - 217
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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