scientific article; zbMATH DE number 7430684

zbMath1474.65498MaRDI QIDQ5860398

Nkem Ogbonna, Eno D. John

Publication date: 19 November 2021

Full work available at URL: https://ojs.ictp.it/jnms/index.php/jnms/article/view/39

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zbMATH Keywords

double exponentialVolterra-Fredholm equationsinc collocationmodified variable transformation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Cites Work

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• Improvement of a sinc-collocation method for Fredholm integral equations of the second kind
• Convergence analysis for numerical solution of Fredholm integral equation by sinc approximation
• New approach for numerical solution of Hammerstein integral equations
• Numerical solution of Volterra integral equations with weakly singular kernel based on the DE-sinc method
• Asymptotic expansion for the trapezoidal Nyström method of linear Volterra-Fredholm equations
• Double exponential formulas for numerical indefinite integration.
• Summary of Sinc numerical methods
• Numerical approximation for integral equations
• Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation
• Numerical solution of linear integral equations by using sinc-collocation method
• Function classes for successful DE-Sinc approximations
• Two Formulas for Numerical Indefinite Integration
• Sinc approximation of Cauchy-type integrals over arcs
• Theoretical analysis of Sinc-Nyström methods for Volterra integral equations
• A sinc-collocation method for initial value problems

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