Geodesic
On the Dynamic Solution of the Volterra Integral Equation in the Form of Rational Spline Functions
Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 581-591

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The approximate solution of the Volterra integral equation of the second kind is represented as collocation rational spline functions on successive closed intervals exhausting the entire solution domain. Estimates for the rate of convergence of approximate solutions to the exact solution in the uniform metric are also obtained via the modulus of continuity of the solution and its derivatives of first and second order.
Keywords: rational spline functions, collocation method.
Mots-clés : Volterra equation 
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     title = {On the {Dynamic} {Solution} of the {Volterra} {Integral} {Equation} in the {Form} of {Rational} {Spline} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2022},
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A.-R. K. Ramazanov; A. K. Ramazanov; V. G. Magomedova. On the Dynamic Solution of the Volterra Integral Equation in the Form of Rational Spline Functions. Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 581-591. http://geodesic.mathdoc.fr/item/MZM_2022_111_4_a9/