Abstract

The aim of the study is the solution of the system of fifth order boundary value problems associated with obstacle, unilateral and contact problems using quartic spline. These problems arise in several branches of pure and applied sciences and in engineering including transportation, equilibrium, optimization, mechanics, structural analysis, fluid flow through porous media and image processing in the medical sciences. The results are compared with the exact solution. Two examples are considered for the numerical illustration of the method developed and the results are encouraging.

Keywords:

Contact problems, obstacle problems, quartic spline, system of boundary value problems, variational inequalities,

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Competing interests

The authors have no competing interests.

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