Ms. Numerical Approach for Solving Fredholm Integro-Fractional Differential Equations with Numerous Constant Delays Based on Newton-Cotes Methods
Numerical Approach for Solving(FIFDEs-Delays)with Numerous Constant Delays Based on Newton-Cotes Methods
Résumé
This article presents strong algorithms for the numerical solution of linear Fredholm integrofractional
differential equations of constant delay type (FIFDEs-Delays) with variable coefficients under boundary
conditions with historical functions and the fractional order less than or equal to one in the Caputo sense.
With the aid of a finite difference approximation for Caputo derivative utilization collocation points, the approach
is based on the Newton-Cotes methods. Our method transforms the original FIFDEs-Dealays equation
into a set of algebraic equations with operational matrices for treatments, which are then numerically solved.
This approach covers the integral component of the equation by utilizing the power of Newton-Cotes quadrature
rules, such as the trapezoidal or Simpson’s 1/3 rules, which makes evaluation easy.Furthermore, a number
of numerical examples are provided to assess the effectiveness of proposed approach, proving its accuracy and
practicality. General programs are written in Python.
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