# Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes

A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problem...

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Main Authors: , Article English 2014-01-01 Abstract and Applied Analysis http://dx.doi.org/10.1155/2014/721314
id doaj-d9cc752a04aa42f4818915d857892ad7 Article doaj-d9cc752a04aa42f4818915d857892ad72020-11-24T22:55:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/721314721314Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision SchemesGhulam Mustafa0Syeda Tehmina Ejaz1Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanA numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed.http://dx.doi.org/10.1155/2014/721314 DOAJ English Article DOAJ Ghulam Mustafa Syeda Tehmina Ejaz Ghulam Mustafa Syeda Tehmina Ejaz Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes Abstract and Applied Analysis Ghulam Mustafa Syeda Tehmina Ejaz Ghulam Mustafa Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes numerical solution of two-point boundary value problems by interpolating subdivision schemes Hindawi Limited Abstract and Applied Analysis 1085-3375 1687-0409 2014-01-01 A numerical interpolating algorithm of collocation is formulated, based on 8-point binary interpolating subdivision schemes for the generation of curves, to solve the two-point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed. http://dx.doi.org/10.1155/2014/721314 AT ghulammustafa numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes AT syedatehminaejaz numericalsolutionoftwopointboundaryvalueproblemsbyinterpolatingsubdivisionschemes 1725655827904200704