He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind

From MaRDI portal
Publication:711943

DOI10.1016/j.chaos.2007.01.108zbMath1197.65219OpenAlexW2073516112MaRDI QIDQ711943

H. Ghazvini, Jafar Biazar

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.01.108




Related Items (59)

A generalized block-by-block method for the system of linear Volterra integral equations of the second kindSpectral solutions of system of Volterra integro-differential equations and their error analysisFixed-term homotopySTWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kindFractional nonlinear Volterra-Fredholm integral equations involving Atangana-Baleanu fractional derivative: framelet applicationsExact solutions for nonlinear Burgers' equation by homotopy perturbation methodImproved homotopy perturbation method for solving Fredholm type integro-differential equationsHomotopy perturbation method for the mixed Volterra-Fredholm integral equationsApproximate solutions of linear Volterra integral equation systems with variable coefficientsOn the convergence of homotopy perturbation methodSolving nonlinear and dynamic programming equations on extended \(b\)-metric spaces with the fixed-point techniqueChebyshev wavelets approach for nonlinear systems of Volterra integral equationsBiorthogonal systems for solving Volterra integral equation systems of the second kindNumerical solution of functional integral equations by the variational iteration method\((2+1)\)-dimensional ZK-Burgers equation with the generalized beta effect and its exact solitary solutionRational biparameter homotopy perturbation method and Laplace-Padé coupled versionA general solution for Troesch's problemNumerical solution of nonlinear Volterra integral equations system using Simpson's \(3/8\) ruleAnalytical solution of non-linear enzyme reaction equations arising in mathematical chemistryAnalytical expression of the steady-state catalytic current of mediated bioelectrocatalysis and the application of He's homotopy perturbation methodSolving a system of integral equations by an analytic methodA new Euler matrix method for solving systems of linear Volterra integral equations with variable coefficientsA collocation approach for solving systems of linear Volterra integral equations with variable coefficientsAn efficient algorithm for solving nonlinear age-structured population models by combining homotopy perturbation and Padé techniquesMoving least square for systems of integral equationsA new collocation approach for solving systems of high-order linear Volterra integro-differential equations with variable coefficientsOptimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for solving system of Volterra integral equations of the second kindAn approximate solution to an initial boundary value problem: Rakib–Sivashinsky equationAn improvement to the homotopy perturbation method for solving nonlinear Duffing's equationsNumerical solution for special nonlinear Fredholm integral equation by HPMAn efficient numerical method for solving coupled Burgers' equation by combining homotopy perturbation and pade techniquesA new analytical method for solving systems of Volterra integral equationsA new homotopy perturbation method for system of nonlinear integro-differential equationsHe-Laplace method for linear and nonlinear partial differential equationsSolving a system of nonlinear integral equations by an RBF networkHe's homotopy perturbation method: a strongly promising method for solving non-linear systems of the mixed Volterra-Fredholm integral equationsSolving a system of linear Volterra integral equations using the modified reproducing kernel methodHomotopy perturbation method for homogeneous Smoluchowsk's equationStudy of convergence of homotopy perturbation method for systems of partial differential equationsAn improvement to homotopy perturbation method for solving system of linear equationsApplication of the homotopy perturbation method to the modified regularized long-wave equationA new HPM for ordinary differential equationsAnalytical expression of non steady-state concentration for the CE mechanism at a planar electrodeAn analytical approximation for solving nonlinear Blasius equation by NHPMThe spectral method for solving systems of Volterra integral equationsSolving a system of linear Volterra integral equations using the new reproducing kernel methodApproximate solution of systems of Volterra integral equations with error analysisGeneralized homotopy method for solving nonlinear differential equationsA stopping rule for an iterative algorithm in systems of integral equationsSolvability for generalized nonlinear functional integral equations in Banach spaces with applicationsHomotopy perturbation method for solving hyperbolic partial differential equationsExact solutions for some systems of PDEs by He's homotopy perturbation methodEfficient radial basis functions approaches for solving a class of fractional optimal control problemsSolving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert spaceThe homotopy perturbation method for solving the linear and the nonlinear Goursat problemsConvergence of the homotopy perturbation method for partial differential equationsThe reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficientsHomotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivativesSuperconvergence of system of Volterra integral equations by spectral approximation method



Cites Work


This page was built for publication: He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind