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Consider the discretisations given below to approximate xu in the point i1. Derive their truncation error up to and including second-order terms in the truncation
Consider the discretisations given below to approximate xu in the point i1. Derive their truncation error up to and including second-order terms in the truncation error (Note: do not include third-order terms in your calculation). Use that to calculate its value if the function value u and its first to fourth derivatives at i1 happen to be as follows: u=1u=0.2u=1.2u=0.8u=1.4 and the mesh width is h=0.4 xui1hui1ui2 Value of truncation error: TE= ii) xui12hui+1ui1 Value of truncation error: TE= iii) xui14hui+1ui+ui1 Value of truncation error: TE=
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