Numerical solution of singular integral equations via initial value methods

DOI10.1016/0096-3003(86)90015-9zbMath0627.65138OpenAlexW1994817250MaRDI QIDQ1092644

Mohan K. Kadalbajoo

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90015-9

zbMATH Keywords

Fredholm integral equations of the second kindCauchy singular integral equationsreduction methodsinitial value methodsimbedding technique

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fredholm integral equations (45B05) Integral equations with kernels of Cauchy type (45E05)

Cites Work

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• Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence
• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type
• A method for the numerical solution of singular integral equations with a principal value integral
• On the Weighted Galerkin Method of Numerical Solution of Cauchy Type Singular Integral Equations
• On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• A Comparison Between the Direct and the Classical Numerical Methods for the Solution of Cauchy Type Singular Integral Equations
• Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule
• On quadrature formulas for singular integral equations of the first and the second kind
• An analysis of a method for solving singular integral equations
• Approximate Solutions of Systems of Singular Integral Equations
• On the numerical solution of singular integral equations

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