Abstract
In this paper nonlinear Volterra integro-differential equations are considered with kernels of the formP(x,s,y(s)) andK(x,s,y(x),y(s)) and extended backward differentiation methods are applied as extended from their introduction for the solution of ordinary differential equations by Cash [4]. An error bound is obtained and a rate of convergence is found and validated by testing the method on some examples. The numerical results are compared with those obtained by applying standard backward differentiation and collocation methods.
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