Numerical treatment of a Volterra integral equation with space maps
The authors consider integral equations of the type \[ y(x,t)=f(x,t)+\int_{0}^{t}k(t-\eta)y(g(x,t,\eta),\eta)d\eta\tag{1} \] The numerical method constructed here is inspired by some existing methods taken from the literature on Classical Volterra-Fredholm integral equations. The authors introduce their numerical method based on direct quadrature along time and interpolation for space. They authors investigate the basic qualitative properties and give the convergence and its performance on numerical experiments.
scientific article; zbMATH DE number 5726718
scientific article