Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane

DOI10.1016/j.amc.2018.01.016zbMath1427.65427OpenAlexW2793277531MaRDI QIDQ2001639

Amit Setia, Ravi P. Agarwal, Vaishali Sharma

Publication date: 10 July 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.016

zbMATH Keywords

error boundsystem of singular integral equationsLegendre polynomialsCauchy type kernel

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

Using of PQWs for solving NFID in the complex plane ⋮ Error analysis of a residual-based Galerkin's method for a system of Cauchy singular integral equations with vanishing endpoint conditions ⋮ Solving two-dimensional nonlinear Fredholm integral equations using rationalized Haar functions in the complex plane ⋮ Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs ⋮ Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane ⋮ Solving of nonlinear Volterra integro-differential equations in the complex plane with periodic quasi-wavelets

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