New Quartic B-spline Approximations for Numerical Solution of Fourth Order Singular Boundary Value Problems

In this work, we have proposed a new quartic Bspline (QBS) approximation technique for numerical treatment of fourth order singular boundary value problems. The typical QBS functions in association with new approximations for third and fourth order derivatives are employed to interpolate the solution in spatial domain. An error analysis is presented and the proposed numerical technique is proved to be uniformly convergent. We have corroborated this work by considering some test examples containing singularity at one of their boundaries. The comparison of approximate results affirms the superiority of our new approximation method over current methods on the topic