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In this paper, we study the quadratic rule for the numerical solution of linear and nonlinear two-dimensional Fredholm integral equations based on spline quasi-interpolant. Also the convergence analysis of the… Click to show full abstract
In this paper, we study the quadratic rule for the numerical solution of linear and nonlinear two-dimensional Fredholm integral equations based on spline quasi-interpolant. Also the convergence analysis of the method is given. We show that the order of the method is $$O(h_{x}^{m+1})+O(h_{y}^{m^{\prime }+1})$$ O ( h x m + 1 ) + O ( h y m ′ + 1 ) . The theoretical behavior is tested on examples and it is shown that the numerical results confirm theoretical part.
Keywords:
dimensional fredholm;
analysis;
quasi interpolant;
two dimensional;
fredholm integral;
integral equations
Journal Title: Computational and Applied Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Computational and Applied Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!