An explicit two-step rational method for the numerical solution of first order initial value problem | Zendy

Teh Yuan Ying | Zendy

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An explicit two-step rational method for the numerical solution of first order initial value problem

Author(s) -

Teh Yuan Ying

Publication year - 2014

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4887571

Subject(s) - computation , value (mathematics) , order (exchange) , initial value problem , mathematics , mathematical optimization , numerical analysis , linear multistep method , computer science , algorithm , mathematical analysis , differential equation , statistics , finance , economics , differential algebraic equation , ordinary differential equation

An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems

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