Delta basis functions and their applications to systems of integral equations

DOI10.1016/J.CAMWA.2011.10.076zbMath1238.65134OpenAlexW2023429799MaRDI QIDQ418293

H. Almasieh, M. Roodaki

Publication date: 28 May 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.10.076

zbMATH Keywords

projection methodsdelta basis functionssystems of nonlinear integral equationstriangular orthogonal functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05) Systems of linear integral equations (45F99)

Related Items (11)

Laguerre method for solving linear system of Fredholm integral equations ⋮ Application of triangular and delta basis functions to solve linear Fredholm fuzzy integral equation of the second kind ⋮ A new numerical method for solving two-dimensional Volterra-Fredholm integral equations ⋮ AN EFFECTIVE AND SIMPLE SCHEME FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS ⋮ Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm–Volterra integral equations of Hammerstein type ⋮ Hybrid Taylor and block-pulse functions operational matrix algorithm and its application to obtain the approximate solution of stochastic evolution equation driven by fractional Brownian motion ⋮ A new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficients ⋮ Numerical analysis of the fractional-order nonlinear system of Volterra integro-differential equations ⋮ The impact of two transformations on the solutions of second kind Fredholm integral equations system ⋮ Unnamed Item ⋮ Numerical solution of Volterra-Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials

Cites Work

• Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations
• Optimal control of Volterra integral equations via triangular functions
• Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
• Numerical treatment of second kind Fredholm integral equations systems on bounded intervals
• Using triangular orthogonal functions for solving Fredholm integral equations of the second kind
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• Piecewise constant orthogonal functions and their application to systems and control
• The decomposition method applied to systems of Fredholm integral equations of the second kind.
• Convergence of approximate solution of system of Fredholm integral equations
• Numerical solution of integral equations system of the second kind by block-pulse functions
• Computational Methods for Integral Equations
• The Numerical Solution of Integral Equations of the Second Kind
• Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method

This page was built for publication: Delta basis functions and their applications to systems of integral equations