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Original Articles

An optimal ultraspherical approximation of integrals

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Pages 219-237 | Received 20 Jul 1999, Published online: 20 Mar 2007

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Hoda F. Ahmed. (2018) A numerical technique for solving multi-dimensional fractional optimal control problems. Journal of Taibah University for Science 12:5, pages 494-505.
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S Yaghoubi, H Aminikhah & K Sadri. (2023) A spectral shifted gegenbauer collocation method for fractional pantograph partial differential equations and its error analysis. Sādhanā 48:4.
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Ali Khani & S. Panahi. (2021) Solving fractional differential equations by the ultraspherical integration method. Boletim da Sociedade Paranaense de Matemática 40, pages 1-14.
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Hussien S. Hussien. (2016) A spectral Rayleigh–Ritz scheme for nonlinear partial differential systems of first order. Journal of the Egyptian Mathematical Society 24:3, pages 373-380.
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Kareem T. Elgindy & Kate A. Smith-Miles. (2012) On the optimization of Gegenbauer operational matrix of integration. Advances in Computational Mathematics 39:3-4, pages 511-524.
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Kareem T. Elgindy & Kate A. Smith-Miles. (2013) Optimal Gegenbauer quadrature over arbitrary integration nodes. Journal of Computational and Applied Mathematics 242, pages 82-106.
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K.T. Elgindy & Kate A. Smith-Miles. (2013) Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices. Journal of Computational and Applied Mathematics 237:1, pages 307-325.
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