ASYMPTOTIC ERROR EXPANSIONS OF QUADRATIC SPLINE COLLOCATION SOLUTIONS FOR TWO-POINT BOUNDARY VALUE PROBLEMS-中国期刊网

摘要 Inthispaper,weconsiderthefollowingproblem:Thequadraticsplinecollocation,withuniformmeshandthemid-knotpointsaretakenasthecollocationpointsforthisproblemisconsidered.Withsomeassumptions,wehaveprovedthatthesolutionofthequadraticsplinecollocationforthenonlinearproblemcanbewrittenasaseriesexpansionsinintegerpowersofthemesh-sizeparameter.ThisgivesusaconstructionmethodforusingRichardson’sextrapolation.Whenwehaveasetofapproximatesolutionwithdifferentmesh-sizeparameterasolutionwithhighaccuracycanheobtainedbyRichardson’sextrapolation.

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ASYMPTOTIC ERROR EXPANSIONS OF QUADRATIC SPLINE COLLOCATION SOLUTIONS FOR TWO-POINT BOUNDARY VALUE PROBLEMS

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ASYMPTOTIC ERROR EXPANSIONS OF QUADRATIC SPLINE COLLOCATION SOLUTIONS FOR TWO-POINT BOUNDARY VALUE PROBLEMS

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