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The -method and Fredholm integral equations
Journal article   Peer reviewed

The -method and Fredholm integral equations

Wyman Fair and Jet Wimp
Computer methods in applied mechanics and engineering, v 11(2), pp 207-214
1977
DOI: https://doi.org/10.1016/0045-7825(77)90059-7

Abstract

Instead of using approximate methods on the equation f(x) = g(x) + λ ∫ 0 1 K(x,t)f(t) dt , the τ-method is employed to obtain the exact solution of the equation h(x) = g(x) + λ ∫ 0 1 K(x,t)h(t) dt + R(x,λ) ,The analytical from of R(x, λ) determines the type of approximation which results. In this paper R(x, λ) is chosen to be a function which is rational in the parameter λ in which case, the approximation to the true solution has the same character. An example is given.

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