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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 17 > No. 4

 
   

Sixth-Kind Chebyshev Collocation Treatment of Fractional Fredholm-Volterra Integro-Differential Equations

PP: 625-630
doi:10.18576/amis/170410
Author(s)
Mahmoud M. Mokhtar,
Abstract
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.

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