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Science and Mathematics Education
Applications and Applied Mathematics: An International Journal (AAM)
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An Interpolation Process On The Roots Of Ultraspherical Polynomials, R. Srivastava, Yamini Singh
An Interpolation Process On The Roots Of Ultraspherical Polynomials, R. Srivastava, Yamini Singh
Applications and Applied Mathematics: An International Journal (AAM)
The paper is devoted to studying a Pál-type interpolation problem on the roots of Ultraspherical polynomials of degree n-1 with parameter k+1 on the closed interval -1 to 1. The aim of this paper is to find a unique interpolatory polynomial of degree at most m equal to 2n+2k+1 satisfying the interpolatory conditions that is, function values of the polynomial of degree m at the zeros of the function values of the ultraspherical polynomials and the first derivative values of the polynomial of degree m at the zeros of the first derivative values of the ultraspherical polynomials.We will use the …
A Numerical Method For Functional Hammerstein Integro-Differential Equations, L. Saeedi, A. Tari
A Numerical Method For Functional Hammerstein Integro-Differential Equations, L. Saeedi, A. Tari
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a numerical method is presented to solve functional Hammerstein integro-differential equations. The presented method combines the successive approximations method with trapezoidal quadrature rule and natural cubic spline interpolation to solve the mentioned equations. The existence and uniqueness of the problem is also investigated. The convergence and numerical stability of the problem are proved, and finally, the accuracy of the method is verified by presenting some numerical computations.