Solution of integral equations using a set of block pulse functions

DOI10.1016/0016-0032(78)90037-6zbMath0394.65046OpenAlexW2008721853MaRDI QIDQ1252708

K. Appert

Publication date: 1978

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(78)90037-6

zbMATH Keywords

Integral EquationsTwo ExamplesBlock Pulse FunctionsFredholm and Volterra Integral EquationsSecond Kind

Mathematics Subject Classification ID

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

Related Items (16)

Explicit solutions of integral equations via block pulse functions ⋮ Solutions of integral equations via shifted Legendre polynomials ⋮ Analysis and identification of Hammerstein model non-linear delay systems using block-pulse function expansions ⋮ Analysis, parameter estimation and optimal control of non-linear systems via general orthogonal polynomials ⋮ Solving nonlinear two-dimensional Volterra integro-differential equations by block-pulse functions ⋮ Solutions of convolution integral and integral equations via double general orthogonal polynomials ⋮ Bilinear system identification by block pulse functions ⋮ Application of single-step method of block-pulse functions to the optimal control of linear distributed-parameter systems ⋮ The computation of \(C^ k\) spline functions ⋮ Solution of integral equations via generalized orthogonal polynomials ⋮ Solutions of integral equations via modified Laguerre polynomials ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions ⋮ Solutions of integral equations via Taylor series ⋮ The convergence properties of block-pulse series ⋮ Chebyshev series approach to system identification, analysis and optimal control ⋮ Double-shifted Chebyshev series for convolution integral and integral equations

Cites Work

• Walsh operational matrices for fractional calculus and their application to distributed systems
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