Mechanical algorithm for solving the second kind of Volterra integral equation

DOI10.1016/j.amc.2005.04.060zbMath1088.65121OpenAlexW2014792585MaRDI QIDQ2489467

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.2005.04.060

zbMATH Keywords

Algorithmnumerical exampleMapleNeumann-seriesMechanizationMathematical induction method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (5)

Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy ⋮ Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy ⋮ Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy ⋮ An application of Romberg extrapolation on quadrature method for solving linear Volterra integral equations of the second kind ⋮ Legendre spectral Galerkin method for second-kind Volterra integral equations

Uses Software

• Maple

Cites Work

• Unnamed Item
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• A new algorithm for symbolic integration with application
• A new algorithm for integral of trigonometric functions with mechanization
• A simple Taylor-series expansion method for a class of second kind integral equations
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Numerical solution of functional differential, integral and integro-differential equations
• Two methods for solving integral equations
• Single-term Walsh series method for the Volterra integro-differential equations
• An algorithm for solving DAEs with mechanization
• The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
• An algorithm for solving a nonlinear integro-differential equation

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