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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
Pg 1 - 156 (June 2023)
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Volume 22,
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Volume 21,
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Volume 20, Issue 2
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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Volume 18, Issue 2
Pg 1 - 88 (December 2019)
Volume 18, Issue 1
Pg 1 - 58 (June 2019)
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Pg 47 - 96 (June 2018)
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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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Volume 8, Issue 2
Pg 75 - 133 (December 2012)
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Pg 63 - 131 (June 2012)
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Pg 1 - 62 (March 2012)
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Pg 105 - 162 (December 2011)
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Pg 1 - 104 (September 2011)
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Pg 67 - 139 (June 2011)
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Pg 57 - 128 (December 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 77 - 87 (December 2010)
SOLVING BRACHISTOCHRONE PROBLEM USING LEGENDRE CARDINAL FUNCTIONS
Mehrdad Lakestani
Abstract:
A numerical technique for solving the brachistochrone problem is presented. The problem is solved using the Legendre cardinal functions. An operational matrix of integration is introduced and is utilized to reduce the problem to the solution of algebraic equations. From the computational viewpoint, the solutions obtained by this method are in excellent agreement with those obtained by previous works and efficient to use. Some examples are also given to demonstrate the validity and applicability of the presented technique. The method is general, easy to implement, and yields very accurate results with few computations.
Keywords and phrases:
brachistochrone problem, Legendre cardinal functions, operational matrix of derivative, numerical methods, calculus of variations.
Number of Downloads:
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P-ISSN: 0975-0452
Journal Stats
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214
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356
h10-index (Google Scholar):
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h-index (Google Scholar):
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56551
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Downloads/publish articles:
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Citations (Google Scholar)/publish articles:
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