Abstract
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.
Muhammad Kashif Iqbal, Muhammad Abbas, Bushra Zafar. (2020) New Quartic B-spline Approximations for Numerical Solution of Fourth Order Singular Boundary Value Problems, Punjab University Journal of Mathematics, Volume 52 , Issue No.3.
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