Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations

DOI10.2307/2006001zbMath0372.65054OpenAlexW4234501743MaRDI QIDQ4148929

Alan Goldfine

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2006001

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (12)

The approximate solution of initial-value problems for general Volterra integro-differential equations ⋮ Implicit Runge-Kutta-Nyström methods for general second-order Volterra integro differential equations ⋮ On series solutions of Volterra equations ⋮ An algorithm for the numerical solution of integro-differential equations ⋮ Numerical solution of non-linear Volterra integral equations ⋮ Status of the differential transformation method ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation ⋮ Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations ⋮ The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors ⋮ Symbolic and numeric scheme for solution of linear integro-differential equations with random parameter uncertainties and Gaussian stochastic process input ⋮ A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind

Cites Work

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• Automatic Differentiation of Computer Programs
• Numerical Methods for Nonlinear Volterra Integro-Differential Equations
• A Runge-Kutta Method for the Numerical Solution of the Goursat Problem in Hyperbolic Partial Differential Equations
• Some methods for the solution of non-singular Volterra integro-differential equations
• A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind
• Linear Multistep Methods for Volterra Integro-Differential Equations
• On the numerical solution of integro-differential equations
• An algorithm for the numerical solution of integro-differential equations
• A block by block method for the numerical solution of Volterra integral equations

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