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Numerical Solutions for Solving Special Tenth Order Linear Boundary Value Problems using Legendre Galerkin method |
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PP: 27-35 |
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doi:10.18576/msl/070105
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Author(s) |
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Zaffer Elahi,
Ghazala Akram,
Shahid S. Siddiqi,
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Abstract |
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| Galerkin method is used for the numerical solutions of linear tenth-order boundary value problems, with two point boundary conditions, using Legendre polynomials as basis functions over the interval [−1, 1]. To examine the accuracy of the method some examples have been considered, which shows that the method provides much better accuracy as compared with [Viswanadham and Ballem, Int. J. Appl. Sci. and Eng., 13(3), 247-260 (2015)] and [Viswanadham and Ballem, Int. J. Appl. Math. Stat. Sci., 3(3), 17-30 (2014)].
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