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In this paper, we introduce a new family of extended multistep collocation methods for solving two types of nonlinear Volterra integro-differential equations including nonstiff and stiff problems. These methods are constructed by using super-future points technique with the aim of increasing the order and the stability region of the classical one-step collocation methods and multistep collocation...
In this paper, we propose a new class of multistep collocation methods for solving nonlinear Volterra Integral Equations, based on Hermite interpolation. These methods furnish an approximation of the solution in each subinterval by using approximated values of the solution, as well as its first derivative, in the r previous steps and m collocation points. Convergence order of the new methods is determined...
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