Polynomial Spline Collocation Method for Solving Weakly Regular Volterra Integral Equations of the First Kind

نویسندگان

چکیده

The polynomial spline collocation method is proposed for solution of Volterra integral equations the first kind with special piecewise continuous kernels. Gausstype quadrature formula used to approximate integrals during discretization projection method. estimate accuracy obtained. Stochastic arithmetics also based on Controle et Estimation Stochastique des Arrondis de Calculs (CESTAC) and Control Accuracy Debugging Numerical Applications (CADNA) library. Applying this approach it possible find optimal parameters projective numerical examples are included illustrate efficiency novel

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ژورنال

عنوان ژورنال: ???????? ?????????? ???????????????? ????????????

سال: 2022

ISSN: ['2304-1226']

DOI: https://doi.org/10.26516/1997-7670.2022.39.62