Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
Some convergence, results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are developed. It is proved that a one-leg method is \(E\)- (or \(EB\))-convergent of order \(p\) for nonlinear NDIDEs if and only if it is \(A\)-stable and consistent of order \(p\) in classical sense for ordinary differential equations, where \(p= 1,2\). A numerical example confirms the theoretical results.
scientific article; zbMATH DE number 5643478
scientific article