Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions
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Publication:3082658
DOI10.1080/00207720903499824zbMath1210.65204OpenAlexW2167899903MaRDI QIDQ3082658
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Publication date: 16 March 2011
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207720903499824
numerical examplesblock matrixoperational matrixblock pulse functionsVolterra integral equations of the first kind
Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)
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Laguerre method for solving linear system of Fredholm integral equations ⋮ Solving Ito integral equations with time delay via basis functions ⋮ Numerical approach for solving stochastic Volterra-Fredholm integral equations by stochastic operational matrix ⋮ Numerical solution of Volterra integral-algebraic equations using block pulse functions ⋮ A novel method for solving nonlinear Volterra integro-differential equation systems ⋮ A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations ⋮ A novel method with convergence analysis based on the Jacobi wavelets for solving a system of two-dimensional Volterra integral equations ⋮ A numerical method for solving \(m\)-dimensional stochastic itô-Volterra integral equations by stochastic operational matrix ⋮ A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients ⋮ Laguerre approach for solving system of linear Fredholm integro-differential equations ⋮ Single-term Walsh series approach for the system of linear and non-linear Volterra integral equations of first kind ⋮ Improved Bessel collocation method for linear Volterra integro-differential equations with piecewise intervals and application of a Volterra population model ⋮ A direct method to solve integral and integro-differential equations of convolution type by using improved operational matrix
Cites Work
- Block pulse functions and their applications in control systems
- Solving linear integro-differential equation system by Galerkin methods with hybrid functions
- Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
- Computational Methods for Integral Equations
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