eng Oriental Scientific Publishing Company Material Science Research India 0973-3469 2011-05-23 8 1 47 51 2472 article A Class of Adams-Like Implicit Collocation Methods of Higher Orders for the Solutions of Initial Value Problems J. O. Fatokun 1 Tsaku Nuhu 1 I. K. O Ajibola 2 Department of Mathematical Sciences.Nasarawa State University.P.M.B.1022, Keffi, Nigeria. Department of Mathematics and Statistics, Polytechnic of Namibia, Windhoek, Namibia.

The focus of this research work is the derivation of a class of Adams-like collocation multistep methods of orders not exceeding p=9. Numerical quadrature rule is used to derive steps k= 3,...,8 of the Adams methods. Convergence of each formula derived is established in this paper. As a numerical experiment, the step six pair of the Adams method so derived was used as predictor-corrector pair to solve a non-stiff initial value problem. The absolute errors show an accuracy of o(h7).

 https://www.materialsciencejournal.org/vol8no1/a-class-of-adams-like-implicit-collocation-methods-of-higher-orders-for-the-solutions-of-initial-value-problems/ Adams methods Numerical quadrature Stability Order of accuracy predictor-corrector methods