Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel

DOI10.14529/mmp140311zbMath1308.65222OpenAlexW2320227097MaRDI QIDQ5173922

Denis Nikolaevich Sidorov, Alexander N. Tynda, Il'dar Rinatovich Muftahov

Publication date: 16 February 2015

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14529/mmp140311

zbMATH Keywords

numerical examplesquadrature ruleregularization methodVolterra integral equations of the first kindevolving systemsGlushkov integral model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

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Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography ⋮ Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind ⋮ Lavrentiev regularization of integral equations of the first kind in the space of continuous functions ⋮ Numeric solution of Volterra integral equations of the first kind with discontinuous kernels ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels ⋮ Control of accuracy on Taylor-collocation method for load leveling problem ⋮ Numerical solution of Volterra-Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials

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