APPLICATION OF THE HOMOTOPY ANALYSIS METHOD FOR SOLVING THE SYSTEMS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS

DOI10.3846/13926292.2016.1167787zbMath1488.65739OpenAlexW2405372942MaRDI QIDQ5011624

Rafał Brociek, Edyta Hetmaniok, Jarosław Matlak, Damian Słota

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.3846/13926292.2016.1167787

zbMATH Keywords

convergenceerror estimationsystem of Fredholm integral equationshomotopy analysis methodsystem of Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Uses Software

• BVPh

Cites Work

• Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations
• A new analytical technique to solve Fredholm's integral equations
• Magnetohydrodynamic flow of a viscoelastic fluid
• An analytical method for solving linear Fredholm fuzzy integral equations of the second kind
• Solving a system of integral equations by an analytic method
• A study on the convergence of homotopy analysis method
• Notes on the homotopy analysis method: some definitions and theorems
• Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind
• Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations
• Homotopy analysis method: A new analytic method for nonlinear problems.
• On the homotopy analysis method for nonlinear problems.
• A study of the convergence of and error estimation for the homotopy perturbation method for the Volterra-Fredholm integral equations
• A new analytical technique to solve Volterra's integral equations
• Homotopy Analysis Method in Nonlinear Differential Equations
• Convergence of Adomian's Method
• An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
• Beyond Perturbation
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