2022
DOI: 10.37394/23206.2022.21.81
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Nonlenear Integro-differential Equations and Splines of the Fifth Order of Approximation

Abstract: In this paper, we consider the solution of nonlinear Volterra–Fredholm integro-differential equation, which contains the first derivative of the function. Our method transforms the nonlinear Volterra-Fredholm integro-differential equations into a system of nonlinear algebraic equations. The method based on the application of the local polynomial splines of the fifth order of approximation is proposed. Theorems about the errors of the approximation of a function and its first derivative by these splines are giv… Show more

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