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Solving third-order obstacle problems with quartic $B$-splines. (English) Zbl 1106.65058
Summary: We develop a new numerical method for solving a system of third-order boundary value problems associated with third-order obstacle problems using the quartic B-splines. The convergence order of the method is considered and numerical results are also given.

##### MSC:
 65K10 Optimization techniques (numerical methods) 49J40 Variational methods including variational inequalities 49M25 Discrete approximations in calculus of variations
Full Text:
##### References:
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