Family of numerical methods based on non-polynomial splines for solution of contact problems |
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Institution: | 1. Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan;2. Department of Mathematics, University of Sargodha, Sargodha, Pakistan;1. Dept. of Automation Engineering, TEI of Sterea Hellas, Psachna Campus, GR34400, Greece;2. microSENSES Laboratory, Department of Electrical and Electronic Engineering, Faculty of Engineering, University of West Attica, Egaleo, GR11210, Greece |
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Abstract: | In this paper a new technique based on quartic non-polynomial spline functions connecting spline functions values at mid knots and their corresponding values of the fourth-order derivatives is developed. This approach leads to a family of numerical methods for computing approximations to the solution of a system of fourth-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the present family of methods gives better approximations. Existing second and fourth-order finite-difference and spline functions based methods developed at mid knots become special cases of the new approach. Numerical examples are given to illustrate applicability and efficiency of the new methods. |
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