Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels

DOI10.14529/mmp160111zbMath1338.45002OpenAlexW2602965592MaRDI QIDQ2806809

Denis Nikolaevich Sidorov, Il'dar Rinatovich Muftahov

Publication date: 19 May 2016

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/mmp160111

zbMATH Keywords

ill-posed problemVolterra integral equationsquadratureevolving dynamical systemsdiscontinuous kernelDekker-Brent method

Mathematics Subject Classification ID

Volterra integral equations (45D05)

Related Items (5)

Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ Solving nonlinear Volterra integral equations of the first kind with discontinuous kernels by using the operational matrix method ⋮ Unnamed Item ⋮ Control of accuracy on Taylor-collocation method for load leveling problem

Cites Work

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• On one integral Volterra model of developing dynamical systems
• Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels
• Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel
• An algorithm with guaranteed convergence for finding a zero of a function

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