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Volume 24 (2024)
Volume 24, Issue 2
Pg 109 - 236 (December 2024)
Volume 24, Issue 1
Pg 1 - 107 (June 2024)
Volume 23 (2023)
Volume 23, Issue 2
Pg 157 - 228 (December 2023)
Volume 23, Issue 1
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Pg 77 - 172 (December 2021)
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Pg 1 - 75 (June 2021)
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Volume 19, Issue 2
Pg 99 - 190 (December 2020)
Volume 19, Issue 1
Pg 1 - 97 (June 2020)
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Pg 1 - 58 (June 2019)
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Pg 1 - 45 (March 2018)
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Pg 69 - 128 (June 2014)
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Pg 1 - 68 (March 2014)
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Pg 73 - 137 (December 2013)
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Pg 1 - 72 (September 2013)
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Pg 69 - 131 (June 2013)
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Pg 1 - 68 (March 2013)
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Pg 75 - 133 (December 2012)
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Pg 63 - 131 (June 2012)
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Pg 105 - 162 (December 2011)
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Pg 1 - 104 (September 2011)
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Pg 1 - 66 (March 2011)
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Pg 57 - 128 (December 2010)
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Pg 1 - 56 (September 2010)
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Pg 87 - 172 (June 2010)
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Pg 1 - 86 (March 2010)
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International Journal of Numerical Methods and Applications
International Journal of Numerical Methods and Applications
Volume 4, Issue 2, Pages 57 - 75 (December 2010)
A SPECTRAL OPTIMIZATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS FOR NONLINEAR SYSTEMS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH A PACKAGE SOFTWARE
Hussien Shafei Hussien, Mohemed Saad Akel and Mostafa Ali El Khatib
Abstract:
The objective of the present paper is to solve boundary value problems for nonlinear systems of elliptic Partial Differential Equations (PDE’s). We shall modify a spectral method to approximate the differential system. Ultraspherical integral method will be used to reformulate the main differential problem to an unconstrained optimization problem. An optimal solution to the later problem will be caught by using an algorithm to choose the best ultraspherical parameter giving minimum error. We shall show that our approach can be used for wide area of applications governed by such boundary value problems. The proposed method is programmed into a package software with a simple user interface.
Keywords and phrases:
spectral approximation, ultraspherical polynomial, boundary value problems, nonlinear systems of elliptic PDE’s, unconstrained optimization problem, optimal solution, package software, user interface.
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P-ISSN: 0975-0452
Journal Stats
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Citation count (Google Scholar):
356
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h-index (Google Scholar):
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