Articles with "fredholm volterra" as a keyword



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Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations

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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
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A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error

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Published in 2021 at "Axioms"

DOI: 10.3390/axioms10030165

Abstract: In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed. The method is based on Euler wavelet approximation and matrix inversion of an M×M… read more here.

Keywords: numerical method; absolute error; fredholm volterra;