We propose a spectral technique for solving mixed nonlinear and linear Fredholm-Volterra integro-differential equations. Our method involves transforming the problem using Simpson’s integration formula and expanding the solution as a series of sixth- kind Chebyshev polynomials. The convergence rate and estimated chopping error are analyzed, and numerical examples are provided to demonstrate the effectiveness and accuracy of the approach.
Digital Object Identifier (DOI)
M. Mokhtar, Mahmoud
"Sixth-Kind Chebyshev Collocation Treatment of Fractional Fredholm-Volterra Integro-Differential Equations,"
Applied Mathematics & Information Sciences: Vol. 17:
4, Article 10.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/10