Approximation of solution of two-dimensional Volterra integral equation with a loaded operator

Title	Approximation of solution of two-dimensional Volterra integral equation with a loaded operator
Authors	V. A. Ryazantsev¹, A. N. Tynda¹ ¹Penza State University
Annotation	A numerical method for solution of two-dimensional Volterra integral equation with local loads is constructed in the paper. The proposed method is based on reduction of the problem to solving the system of linear eqations in approximation coefficients of the unknown function on the grid of special type. Calculations that have been performed for the paper proved the efficiency of the method.
Keywords	two-dimensional integral equation, Volterra equation, piecewise-linear approximation, local loads
Citation	Ryazantsev V. A., Tynda A. N. ''Approximation of solution of two-dimensional Volterra integral equation with a loaded operator'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 193-195. Available at: https://conf.svmo.ru/files/2026/papers/paper103.pdf. - Date of access: 25.09.2026.