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Implementation of the Extended Conjugate Gradient Method for the Two-Dimensional Energized Wave Equation

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CONTRIBUTORS:
  Author Victor Onomza WAZIRI
  Author Sunday Augustus REJU
JOURNAL:
  Leonardo Electronic Journal of Practices and Technologies, 5(9), 33 - 42.
YEAR: 2006
PUB TYPE: Journal Article
SUBJECT(S): None
DISCIPLINE: Mathematics
HTTP: http://lejpt.academicdirect.org/A09/033_042.pdf
LANGUAGE: English
PUB ID: 103-435-761 (Last edited on 2007/06/30 07:38:52 GMT-6)
SPONSOR(S):
 
ABSTRACT:
The paper computes the optimal control and state of the two-dimensional Energized wave equation using the Extended Conjugate gradient Method (ECGM). This piece of work has to do with all the vital computational elements as derived in the implementation of the ECGM algorithm on the two-dimensional Energized Wave equation in (Waziri, 1) and (Waziri & Reju, LEJPT & LJS, Issues 9, 2006, [7-9]). With these recalls, program codes were derived which gave various numerical optimal controls and states. These optimal controls and states were considered at various points in a plane surface. Refs 1. Hestenes M. R., Stiefel E., Method of conjugate Gradient Method for solving linear systems, Journal of Research of the National Bureau of Standards; 49, 1952, p. 409-436. 7. Waziri V. O., Reju S. A., Control Operator for the Two-Dimensional Energized Wave Equation, Leonardo Journal of Science, ISSN 1583-0233, Issue 9, July-December, 2006, p. 33-41. 9. Waziri V. O., Reju S. A., The Penalty Cost Functional for the Two-dimensional Energized Wave Equation, Leonardo Journal of Science, ISSN 1583-0233, Issue 9, July-December, 2006, p. 45-52.
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