A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations

From MaRDI portal
Publication:949469

DOI10.1016/j.mcm.2007.06.022zbMath1145.45304OpenAlexW2045663325MaRDI QIDQ949469

Elçin Yusufoğlu (Agadjanov)

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.06.022




Related Items (30)

A computational method for solving nonlinear stochastic Volterra integral equationsApplication of two-dimensional hat functions for solving space-time integral equationsSTWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kindCollocation method for solving systems of Fredholm and Volterra integral equationsA new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation methodHe's homotopy perturbation method: an effective tool for solving a nonlinear system of two-dimensional Volterra-Fredholm integral equationsOn the application of Euler's method to linear integro differential equations and comparison with existing methodsUsing Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations systemThe block-by-block method with Romberg quadrature for the solution of nonlinear Volterra integral equations on large intervalsSolving nonlinear and dynamic programming equations on extended \(b\)-metric spaces with the fixed-point techniqueThe backward substitution method for multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral typeNumerical solutions of system of linear Fredholm-Volterra integro-differential equations by the Bessel collocation method and error estimationNumerical solutions of systems of linear Fredholm integro-differential equations with Bessel polynomial basesNumerical solution of nonlinear Volterra integral equations system using Simpson's \(3/8\) ruleHomotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equationsA new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficientsA numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functionsA collocation approach for solving systems of linear Volterra integral equations with variable coefficientsAn algorithm for solving multi-term diffusion-wave equations of fractional orderHybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equationsOptimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kindPiecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kindAn exponential method to solve linear Fredholm–Volterra integro-differential equations and residual improvementSolving a system of linear Volterra integral equations using the modified reproducing kernel methodAn improvement to homotopy perturbation method for solving system of linear equationsNumerical research of nonlinear system of fractional Volterra-Fredholm integral-differential equations via block-pulse functions and error analysisSolving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functionsSolving a system of linear Volterra integral equations using the new reproducing kernel methodExistence and computational results to Volterra-Fredholm integro-differential equations involving delay termA BLOCK BY BLOCK METHOD FOR SOLVING SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH CONTINUOUS AND ABEL KERNELS



Cites Work


This page was built for publication: A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations