A new mechanical algorithm for solving the second kind of Fredholm integral equation

DOI10.1016/j.amc.2005.02.026zbMath1088.65119OpenAlexW1976161597MaRDI QIDQ2369239

Weiming Wang

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.02.026

zbMATH Keywords

numerical examplescomputer algebraMapleMechanizationMaple algorithm fredholmprocResolvent of a kernel

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (14)

Approximate analytical solution of singularly perturbed boundary value problems in Maple ⋮ Numerical performance of half-sweep geometric mean (HSGM) iterative method for solving third order Newton-Cotes quadrature system ⋮ A simplification to Fredholm's solution to the Fredholm integral equation of the second kind ⋮ Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy ⋮ A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems ⋮ Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy ⋮ Half-sweep arithmetic mean method with composite trapezoidal scheme for solving linear Fredholm integral equations ⋮ An adaptive approach to solutions of Fredholm integral equations of the second kind ⋮ A new Nyström-type method for Fredholm integral equations of the second kind ⋮ A modified approach to numerical solution of Fredholm integral equations of the second kind ⋮ A hybrid algorithm for approximate optimal control of nonlinear Fredholm integral equations ⋮ Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy ⋮ A study of normality and continuity for mixed integral equations ⋮ Performance analysis of Arithmetic Mean method for solving composite 6-point closed Newton–Cotes quadrature algebraic equation

Uses Software

• Maple

Cites Work

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• Using the WPG method for solving integral equations of the second kind
• An algorithm for solving DAEs with mechanization
• An algorithm for solving nonlinear singular perturbation problems with mechanization
• Computations of multi-resultant with mechanization
• Numerical solution of nonlinear Fredholm integral equations by using multiwavelets in the Petrov-Galerkin method
• Mechanization for solving SPP by reducing order method
• The Trefftz method as an integral equation

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