Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

DOI10.22067/IJNAO.V9I2.73724OpenAlexW3114703701MaRDI QIDQ3389580

Samad Ahdiaghdam, Sedaghat Shahmorad

Publication date: 23 March 2022

Full work available at URL: https://arxiv.org/abs/1508.01873

zbMATH Keywords

orthogonal polynomialsFourier seriesbest approximationsystems of singular linear integral equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Unnamed Item
• Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel
• Approximate solution of singular integral equations of the first kind with Cauchy kernel
• Approximate solution of singular integral equations.
• Solution of Cauchy type singular integral equations of the first kind by using differential transform method
• A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis
• Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind
• On the Galerkin and Collocation Methods for a Cauchy Singular Integral Equation
• Approximate Solution of a Singular Integral Cauchy-Kernel Equation of the First Kind
• Approximate solution of dual integral equations using Chebyshev polynomials

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