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- W1990986596 abstract "Abstract In recent papers Kumar and Sloan have considered the numerical solution of the Hammerstein equation y(x)=f(x)+ ∫ a b k(x,t)g(t,y(t))dt, xϵ[a,b] by a method that first applied the standard collocation procedure to an equivalent equation for z ( t ) = g ( t , y ( t )) and then obtained an approximation to y by use of the equation y(x)=f(x)+ ∫ a b k(x,t)z(t)dt, xϵ[a,b] In this paper, the asymptotic error expansion of this method is obtained. We show that when piecewise polynomial of / GV p −1 are used, the approximation solution admits an error expansion in even powers of the step-size h , beginning with a term h 2 p . Thus, Richardson's extrapolation can be performed on the solution and this will increase the accuracy of numerical solution greatly." @default.
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- W1990986596 date "1995-09-01" @default.
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- W1990986596 title "Asymptotic error expansion of a collocation-type method for Hammerstein equations" @default.
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- W1990986596 doi "https://doi.org/10.1016/0096-3003(94)00160-6" @default.
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