Displaying similar documents to “New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method.”

Equiconvergence and equisummability of Jacobi series

Boychev, Georgi (2011)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 33C45, 40G05. In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.

Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule

Nikolaos I. Ioakimidis, Pericles S. Theocaris (1978)

Aplikace matematiky

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The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to systems of linear equations. To this end, the integrals in such a singular integral equation are replaced by sums, as if they were regular integrals, after the singular integral equation is applied at appropriately selected points of the integration...