A Multistep Method for a Special Class of Second—Order Differential Equations

Authors

  • S. O. Ayinde Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • M. O. Oke Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • R. B. Ogunrinde Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • A. A. Obayomi Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • S. N. Ogunyebi Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • S. E. Fadugba Department of Mathematics, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria
  • O.E. Abolarin Mathematics Department, Federal University Oye Ekiti, Ekiti State, Nigeria

Keywords:

special higher-order equations, numerical method, basis function, linear multistep method

Abstract

A multi–step numerical method for the solution of second order ordinary differential equation was developed by interpolating in a finite range with a basis function. The basis function consists of a combination of exponential and trigonometric functions to ensure that such problems possess unique and continuously differentiable solutions. The method has been tested and found to be reliable, efficient and less tedious than other multi-step methods which require reduction of higher order equations into several first order equations. The method was applied to some special second order equations arising from mechanics and engineering problems. The requisite numerical properties were obtained.

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Published

2022-09-20

How to Cite

S. O. Ayinde, M. O. Oke, R. B. Ogunrinde, A. A. Obayomi, S. N. Ogunyebi, S. E. Fadugba, & O.E. Abolarin. (2022). A Multistep Method for a Special Class of Second—Order Differential Equations. nnovation in cience and echnology, 1(3), 8–18. etrieved from https://www.paradigmpress.org/ist/article/view/222

Issue

Vol. 1 No. 3 (2022): October

Section

Articles