A computational method for solving a class of two dimensional Volterra integral equations

DOI10.1016/j.cam.2016.05.028zbMath1357.65312OpenAlexW2417563532MaRDI QIDQ507909

D. Gámez, M. I. Berenguer

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.028

zbMATH Keywords

algorithmconvergenceBanach spaceserror boundSchauder basesnumerical resultgeometric series theoremtwo-dimensional linear integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items

Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ A perturbed collage theorem and its application to inverse interval integral problems ⋮ Projected iterations of fixed-point type to solve nonlinear partial Volterra integro-differential equations ⋮ A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations ⋮ Extrapolation method for solving two-dimensional Volterra integral equations of the second kind ⋮ An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order ⋮ Numerical solution of two-dimensional linear and nonlinear Volterra integral equations using Taylor collocation method ⋮ A MESHLESS LOCAL GALERKIN INTEGRAL EQUATION METHOD FOR SOLVING A TYPE OF DARBOUX PROBLEMS BASED ON RADIAL BASIS FUNCTIONS

Cites Work

• Unnamed Item
• Numerical approaches for systems of Volterra-Fredholm integral equations
• Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind
• Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations
• Comments on ``Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
• Bases of tensor products of Banach spaces
• Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind
• A meshless based method for solution of integral equations
• Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
• Functional analysis, Sobolev spaces and partial differential equations
• Schauder bases in Banach spaces of continuous functions
• Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation
• An integral equation describing an asexual population in a changing environment
• An approximation method for solving systems of Volterra integro-differential equations
• High order linear initial-value problems and Schauder bases
• A new differential transformation approach for two-dimensional Volterra integral equations