Lucas polynomials for solving linear integral equations

In this work, we seek the approximate solution of Fredholm and Volterra integral equations using Lucas polynomials and a given test functions, in order to reduce those equations to a linear system where its solution is to find the Lucas coefficients and thereafter the solution of the equation.The convergence of this method is assured and the error is compared with other methods.

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Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).