Vieta-Lucas Spectral Collocation Method for Solving Fractional Order Volterra Integro-differential Equations.
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Keywords:
fractional order Volterra integro-differential equations;, Caputo type fractional derivative;, Vieta-Lucas spectral collocation method;, Residual error functionAbstract
The shifted Vieta-Lucas polynomial approach is taken into account for the numerical solution of linear and nonlinear fractional-order integro-differential equations of the Volterra type. Fractional derivatives are described in the Caputo sense. The suggested method reduces the complexity of these problems to the linear or nonlinear solution of algebraic equations. The convergence of the recommended strategy is studied in detail. The computing efficiency of this approach is then illustrated with certain numerical examples, and a comparison with prior research is made.
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