简介：Theexactanalyticmethodwasgivenby[1].Itcanbeusedforarbitraryvariablecoefficientdifferentialequationsandthesolutionobtainedcanhavethesecondorderconvergentprecision.Inthispaper,anewhighprecisionalgorithmisgivenbasedon[1],throughabendingproblemofvariablecross-sectionbeams.Itcanhavethefourthconvergentprecisionwithoutincreasingcomputationwork.Thepresentcomputationmethodisnotonlysimplebutalsofast.Thenumericalexamplesaregivenattheendofthispaperwhichindicatethatthehighconvergentprecisioncanbeobtainedusingonlyafewelements.Thecorrectnessofthetheoryinthispaperisconfirmed.
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