[PDF][PDF] Hybrid block method for direct solution of general fourth order ordinary differential equations using power series function

AT Cole, A Tiamiyu - … Centre, Abuja (icapta. unilag edu. ng …, 2019 - researchgate.net
National Mathematical Centre, Abuja (icapta. unilag edu. ng …, 2019researchgate.net
This work focuses on a new block method of hybrid linear multistep method, derived by
collocation and interpolation techniques for direct solution of fourth order initial value
problems of ordinary differential equations using power series function as basis function.
The basic properties of the block method including zero stability, error constants,
consistency, order and convergence were analyzed. From the analysis, the block method
derived was found to be zero stable, consistent, and convergent. Results from the new …
Abstract
This work focuses on a new block method of hybrid linear multistep method, derived by collocation and interpolation techniques for direct solution of fourth order initial value problems of ordinary differential equations using power series function as basis function. The basic properties of the block method including zero stability, error constants, consistency, order and convergence were analyzed. From the analysis, the block method derived was found to be zero stable, consistent, and convergent. Results from the new derived schemes compared with reviewed works considered in this paper show that the new method gives better accuracy in terms of error.
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