FORMULATION OF BLOCK SCHEMES WITH LINEAR MULTISTEP METHOD FOR THE APPROXIMATION OF FIRST-ORDER IVPS

Authors

Keywords:

linear multi-step method, ordinary differential equations, initial value problems, Hermite polynomials

Abstract

ABSTRACT

In this paper, formulation of an efficient numerical schemes for the approximation first-order initial value problems (IVPs) of ordinary differential equations (ODE) is presented. The method is a block scheme for some k-step linear multi-step methods (and) using the Hermite Polynomials a basis function. The continuous and discrete linear multi-step methods (LMM) are formulated through the technique of collocation and interpolation. Numerical examples of ODE have been examined and results obtained show that the proposed scheme can be efficient in solving initial value problems of first order ODE.

Dimensions

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Published

24-09-2020

How to Cite

FORMULATION OF BLOCK SCHEMES WITH LINEAR MULTISTEP METHOD FOR THE APPROXIMATION OF FIRST-ORDER IVPS. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 313-322. https://doi.org/10.33003/fjs-2020-0403-260

Issue

Vol. 4 No. 3 (2020): FUDMA Journal of Sciences - Vol. 4 No. 3

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

FORMULATION OF BLOCK SCHEMES WITH LINEAR MULTISTEP METHOD FOR THE APPROXIMATION OF FIRST-ORDER IVPS. (2020). FUDMA JOURNAL OF SCIENCES, 4(3), 313-322. https://doi.org/10.33003/fjs-2020-0403-260

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