Using Runge-Kutta method for numerical solution of the system of Volterra integral equation.

DOI10.1016/S0096-3003(03)00148-6zbMath1038.65148MaRDI QIDQ1427876

M. Shahrezaee, Khosrow Maleknejad

Publication date: 14 March 2004

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

zbMATH Keywords

numerical examplesRunge-Kutta methodsystemVolterra integral equationsextended explicit Bel'tyukov pairsPouzet-Volterra Runge-Kutta methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Systems of nonlinear integral equations (45G15)

Related Items (22)

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind ⋮ Numerical solving initial value problem for Fredholm type linear integro-differential equation system ⋮ Application of two-dimensional hat functions for solving space-time integral equations ⋮ STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind ⋮ Collocation method for solving systems of Fredholm and Volterra integral equations ⋮ LS-SVR-based solving Volterra integral equations ⋮ Chebyshev wavelets approach for nonlinear systems of Volterra integral equations ⋮ Numerical solution of nonlinear Volterra integral equations system using Simpson's \(3/8\) rule ⋮ A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions ⋮ Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations ⋮ Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kind ⋮ Numerical approach for a system of second kind Volterra integral equations in magneto-electro-elastic dynamic problems ⋮ A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations ⋮ Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices ⋮ Block by block method for the systems of nonlinear Volterra integral equations ⋮ Approximate solution of systems of Volterra integral equations with error analysis ⋮ Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets ⋮ First-passage-time location function: application to determine first-passage-time densities in diffusion processes ⋮ Numerical expansion methods for solving Fredholm‐Volterra type linear integral equations by interpolation and quadrature rules ⋮ A BLOCK BY BLOCK METHOD FOR SOLVING SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH CONTINUOUS AND ABEL KERNELS ⋮ Superconvergence of system of Volterra integral equations by spectral approximation method ⋮ Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules

Cites Work

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• Extended explicit Bel'tyukov pairs of orders 4 and 5 for Volterra integral equations of the second kind
• A new computational method for Volterra-Fredholm integral equations
• A note on a nonlinear problem in cell membrane theory
• Some Extended Explicit Bel'tyukov Pairs for Volterra Integral Equations of the Second Kind

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