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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 7 > No. 1


Numerical Solutions for Solving Special Tenth Order Linear Boundary Value Problems using Legendre Galerkin method

PP: 27-35
Zaffer Elahi, Ghazala Akram, Shahid S. Siddiqi,
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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