Exponentially Fitted Collocation Method for Solving Singular Multi-Fractional Integro-Differential Equations.
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Date
2019
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Published by Academic Staff Union of Universities.
Abstract
This work considered the construction of canonical polynomials and used
as basis functions for the approximation of singular multi-order fractional
integro-differential equations. The idea is that the singular multi-order
problem is slightly perturbed with shifted Chebyshev polynomials, and the
resulting equation is collocated at equally spaced interior points. The
conditions are exponentially fitted with one tau-parameter along with the
unknown constants. This results into a system of linear algebraic equations
which are then solved using Gaussian elimination method to obtain the
unknown parameters involved. Some examples are solved to demonstrate
the effectiveness of the method.
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Keywords
Canonical Polynomials, Perturbed Collocation Method, Fractional Integro-Differential Equations
Citation
Owolanke et. al.,