NUMERICAL SOLUTIONS OF SYSTEM OF FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
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Date
2023-01-29
Authors
Ansam Mohammad Zaidan
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Abstract
Abstract
Background: System of Fredholm integro-differential equations is a hot topic in applied
mathematics; in particular, the field of signal processing, neural networks and the development
of telecommunications.
Aims: This thesis presents some numerical methods based on matrix polynomials to
solve system of Fredholm integro-differential equations. These methods are: Laguerre
polynomials, Bessel functions and Legendre polynomial.
Methods: In this study, we use Matlab software to implement these methods in form of
algorithms to solve some numerical examples.
Results: Numerical results show that the convergence and accuracy proprieties of these
methods are in good agreement with the exact solution.
Conclusion: A comparison of numerical results illustrated in tables and figures shows that
the Laguerre polynomials method provides more accurate results than the other methods
and therefore more effective.
Keywords: solution of system, fredholm, integro-differential, matlab, numerical methods,
integrodifferential.