A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix

DOI10.1016/j.cam.2010.10.028zbMath1219.65158OpenAlexW2060211579MaRDI QIDQ548286

Yong-Cai Geng, Sumit K. Garg

Publication date: 28 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.028

zbMATH Keywords

numerical examplessystems of linear equationsoperational matrixblock pulse functionstwo-dimensional Fredholm-Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (16)

Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations ⋮ Solvability of quadratic integral equations with singular kernel ⋮ Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ Applying the modified block-pulse functions to solve the three-dimensional Volterra-Fredholm integral equations ⋮ Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials ⋮ Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions ⋮ A numerical method based on hybrid orthonormal Bernstein and improved <scp>block‐pulse</scp> functions for solving Volterra–Fredholm integral equations ⋮ Chelyshkov collocation method for solving the two-dimensional Fredholm-Volterra integral equations ⋮ Unnamed Item ⋮ Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval ⋮ Direct operational vector scheme for first-kind nonlinear Volterra integral equations and its convergence analysis ⋮ Numerical research of nonlinear system of fractional Volterra-Fredholm integral-differential equations via block-pulse functions and error analysis ⋮ Taylor matrix method for solving linear two-dimensional Fredholm integral equations with piecewise intervals ⋮ Stochastic differential equations with imprecisely defined parameters in market analysis ⋮ LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations ⋮ Solving the linear integral equations based on radial basis function interpolation

Cites Work

• Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
• Piecewise constant orthogonal functions and their application to systems and control
• The solution of contact problems of creep theory for combined ageing foundations
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• A numerical method for solving a class of functional and two-dimensional integral equations
• Numerical solution of integral equations system of the second kind by block-pulse functions
• Recursive computational algorithms for a set of block pulse operational matrices
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• Unnamed Item

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