Block by block method for the systems of nonlinear Volterra integral equations

DOI10.1016/j.apm.2009.04.013zbMath1185.65237OpenAlexW1972915717MaRDI QIDQ967814

R. Katani, Sedaghat Shahmorad

Publication date: 2 May 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.04.013

zbMATH Keywords

block by block methodsystem of Volterra integral equationssimpson's rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (21)

Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations ⋮ The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions ⋮ STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind ⋮ An interpolation-based method for solving Volterra integral equations ⋮ Piecewise spectral collocation method for system of Volterra integral equations ⋮ A block-by-block approach for nonlinear fractional integro-differential equations ⋮ Numerical solution of multiple nonlinear Volterra integral equations ⋮ The block-by-block method with Romberg quadrature for the solution of nonlinear Volterra integral equations on large intervals ⋮ Solving nonlinear and dynamic programming equations on extended \(b\)-metric spaces with the fixed-point technique ⋮ Chebyshev wavelets approach for nonlinear systems of Volterra integral equations ⋮ A block-by-block method for nonlinear variable-order fractional quadratic integral equations ⋮ A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations ⋮ Numerical solution based on hybrid of block-pulse and parabolic functions for solving a system of nonlinear stochastic Itô-Volterra integral equations of fractional order ⋮ Numerical solutions of a class of nonlinear Volterra integral equations ⋮ An efficient numerical algorithm to solve Volterra integral equation of second kind ⋮ Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kind ⋮ Solving a system of linear Volterra integral equations using the modified reproducing kernel method ⋮ The spectral method for solving systems of Volterra integral equations ⋮ Solving a system of linear Volterra integral equations using the new reproducing kernel method ⋮ Chebyshev spectral collocation method for system of nonlinear Volterra integral equations ⋮ A BLOCK BY BLOCK METHOD FOR SOLVING SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH CONTINUOUS AND ABEL KERNELS

Cites Work

• Numerical computational solution of the Volterra integral equations system of the second kind by using an expansion method
• Using Runge-Kutta method for numerical solution of the system of Volterra integral equation.
• Chebyshev polynomial solutions of systems of linear integral equations.
• Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method
• Homotopy perturbation technique
• Numerical expansion methods for solving systems of linear integral equations using interpolation and quadrature rules
• Computational Methods for Integral Equations
• Application of Spline Functions to Systems of Volterra Integral Equations of the First and Second Kinds
• The application of approximate product-integration to the numerical solution of integral equations

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