# Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems

We present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street li...

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Main Authors: , , Article English 2015-01-01 Mathematical Problems in Engineering http://dx.doi.org/10.1155/2015/240138
id doaj-b4cbd81e80334d3cb9dbae8b1113fc1b Article doaj-b4cbd81e80334d3cb9dbae8b1113fc1b2020-11-25T00:33:46ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/240138240138Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value ProblemsSyeda Tehmina Ejaz0Ghulam Mustafa1Faheem Khan2Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, PakistanDepartment of Mathematics, University of Sargodha, Punjab 40100, PakistanWe present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street lights and robotic arms in multipurpose engineering systems. Numerical examples are given to illustrate the algorithms. We conclude that approximating schemes based collocation algorithms give better solution than interpolating schemes based collocation algorithms. Main purpose of this paper is to explore and seek the applications of interpolating and approximating subdivision schemes in the field of boundary value problems along with intrinsic comparison of the results obtained by algorithms based on these schemes. A comparison with other approaches of this type of boundary value problems in order to see the advantages of the proposed methods is also given.http://dx.doi.org/10.1155/2015/240138 DOAJ English Article DOAJ Syeda Tehmina Ejaz Ghulam Mustafa Faheem Khan Syeda Tehmina Ejaz Ghulam Mustafa Faheem Khan Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems Mathematical Problems in Engineering Syeda Tehmina Ejaz Ghulam Mustafa Faheem Khan Syeda Tehmina Ejaz Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems subdivision schemes based collocation algorithms for solution of fourth order boundary value problems Hindawi Limited Mathematical Problems in Engineering 1024-123X 1563-5147 2015-01-01 We present two collocation algorithms based on interpolating and approximating subdivision schemes for the solution of fourth order boundary value problems arising in the mathematical modeling of viscoelastic, and inelastic flows, deformation of beams, arches, and load bearing members like street lights and robotic arms in multipurpose engineering systems. Numerical examples are given to illustrate the algorithms. We conclude that approximating schemes based collocation algorithms give better solution than interpolating schemes based collocation algorithms. Main purpose of this paper is to explore and seek the applications of interpolating and approximating subdivision schemes in the field of boundary value problems along with intrinsic comparison of the results obtained by algorithms based on these schemes. A comparison with other approaches of this type of boundary value problems in order to see the advantages of the proposed methods is also given. http://dx.doi.org/10.1155/2015/240138 AT syedatehminaejaz subdivisionschemesbasedcollocationalgorithmsforsolutionoffourthorderboundaryvalueproblems AT ghulammustafa subdivisionschemesbasedcollocationalgorithmsforsolutionoffourthorderboundaryvalueproblems AT faheemkhan subdivisionschemesbasedcollocationalgorithmsforsolutionoffourthorderboundaryvalueproblems 1725315054906114048