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CONTRIBUTORS:
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JOURNAL:
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YEAR:
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2007
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PUB TYPE:
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Journal Article
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SUBJECT(S):
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Block Method; Collocation Polynomial; Continuous Scheme; Gauss-Runge-Kutta Method; Multistep Collocation; Symmetric Scheme; AMS 65L05
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DISCIPLINE:
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Mathematics
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HTTP:
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http://ljs.academicdirect.org/A11/113_122.htm
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LANGUAGE:
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English
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PUB ID:
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103-439-845
(Last edited on
2008/01/06 03:57:05 US/Mountain)
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SPONSOR(S):
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ABSTRACT:
Symmetric methods are particularly attractive for solving stiff ordinary differential equations. In this paper by the selection of Gauss-points for both interpolation and collocation, we derive high order symmetric single-step Gauss-Runge-Kutta collocation method for accurate solution of ordinary differential equations. The resulting symmetric method with continuous coefficients is evaluated for the proposed block method for accurate solution of ordinary differential equations. More interestingly, the block method is self-starting with adequate absolute stability interval that is capable of producing simultaneously dense approximation to the solution of ordinary differential equations at a block of points. The use of this method leads to a maximal gain in efficiency as well as in minimal function evaluation per step.
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STATISTICS
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