Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7694
Abstract: This paper contains the computational approach based on Mott polynomials together with the two‐dimensional Legendre–Gauss (LG) quadrature rule for fractal‐fractional two‐dimensional Fredholm–Volterra (FF‐2D‐FV) integro‐differential equations. Furthermore, we applied the modified operational matrices of integration and… read more here.
Keywords: fredholm volterra; fractal fractional; volterra integro; fractional two ... See more keywords
On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant
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DOI: 10.1007/s40314-020-1129-5
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… read more here.
Keywords: dimensional fredholm; analysis; quasi interpolant; two dimensional ... See more keywords
Numerical Investigation of the Two-Dimensional Fredholm Integral Equations of the Second Kind by Bernstein Operators
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DOI: 10.3390/sym14030625
Abstract: In this study, the numerical solutions of linear two-dimensional Fredholm integral equations of the second kind via Bernstein operators are considered. The method is presented with illustrative examples for regularized-equal and Chebyshev collocation points. The… read more here.
Keywords: fredholm integral; two dimensional; second kind; dimensional fredholm ... See more keywords