2014•AIP conference proceedingsOpen access

Modified third order multistep method based on interpolation for solving ordinary differential problem

Azman Ismail, Rokiah Rozita Ahmad, Ummul Khair Salma Din, Mohd Rosli A. Hamid

Abstract

This study is based on third order multistep method using interpolation formula. The coefficients of new formula are produced using modification on interpolation. This method is tested on ordinary differential equations. Comparisons are between the modified method and the classical Adams Bashforth. Mathematica software is used to determine the new coefficients. The methods was found to be efficient when tested on ordinary differential equation.

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Key concepts: Linear multistep method, Ordinary differential equation, Interpolation (computer graphics), Mathematics, Applied mathematics, Runge–Kutta methods, Differential (mechanical device), Differential equation