Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

quasi-interpolation Related Publications

2 Numerical Solution of Hammerstein Integral Equations by Using Quasi-Interpolation

Authors: M. Zarebnia, S. Khani

Abstract:

In this paper first, a numerical method based on quasiinterpolation for solving nonlinear Fredholm integral equations of the Hammerstein-type is presented. Then, we approximate the solution of Hammerstein integral equations by Nystrom’s method. Also, we compare the methods with some numerical examples.

Keywords: hammerstein integral equations, quasi-interpolation, Nystrom’s method

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1 Solving One-dimensional Hyperbolic Telegraph Equation Using Cubic B-spline Quasi-interpolation

Authors: Alireza Nazemi, Marzieh Dosti

Abstract:

In this paper, the telegraph equation is solved numerically by cubic B-spline quasi-interpolation .We obtain the numerical scheme, by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a low order forward difference to approximate the temporal derivative of the dependent variable. The advantage of the resulting scheme is that the algorithm is very simple so it is very easy to implement. The results of numerical experiments are presented, and are compared with analytical solutions by calculating errors L2 and L∞ norms to confirm the good accuracy of the presented scheme.

Keywords: collocation method, Cubic B-spline, quasi-interpolation, second-order hyperbolic telegraph equation

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