A note on the integral formulation of Kumar and Sloan

DOI10.1016/0377-0427(94)00071-3zbMath0842.65096OpenAlexW2008740360MaRDI QIDQ1903665

Jay I. Frankel

Publication date: 5 August 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00071-3

zbMATH Keywords

error estimatesGreen's functionscollocation methodsHammerstein integral equationsnonlinear boundary value problemsMathematicacomputer algebra system

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for integral equations (65R20) Nonlinear boundary value problems for linear elliptic equations (35J65) Other nonlinear integral equations (45G10) Integral representations of solutions to PDEs (35C15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Cubature rules based on a bivariate degree-graded alternative orthogonal basis and their applications ⋮ Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations. ⋮ Integral equation formulation and error estimates for radial flow between two flat disks ⋮ On the numerical solution of some semilinear elliptic problems. II ⋮ Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations

Uses Software

• Mathematica

Cites Work

• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Some new characterizations of the Chebyshev polynomials
• Several symbolic augmented Chebyshev expansions for solving the equation of radiative transfer
• On the solution of integral equations with strongly singular kernels
• A New Collocation-Type Method for Hammerstein Integral Equations
• Chebyshev series solution for radiative transport in a medium with a linearly anisotropic scattering phase function
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• Linear integral equations
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