ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

Precy Pearl 17 PAGES (6884 WORDS) Article
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The linear multi-step method in this work is established to be a numeric fixed point iterative method for

solving the initial value problem.

Such that when βk ̸= 0, the method is called implicit or otherwise, it is called an explicit method. In section one, preliminaries of the linear multi-step methods bordering on the truncation errors and consistency

conditions were discussed while section two is devoted to theoretical presentation of the usual Hamming’s

method as a fixed point iterative method via the Banach contraction mapping principle. In the end we then

examined extensively the application of the method in the solution of an initial value problem of the ordi￾nary differential equation type using FORTRAN programming language and confirmed it to be a fixed point

iterative method in the complete metric space.

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APA

Precy, P (2019). ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS. Afribary.com: Retrieved November 28, 2020, from https://afribary.com/works/hammings

MLA 8th

Pearl, Precy. "ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS" Afribary.com. Afribary.com, 21 Aug. 2019, https://afribary.com/works/hammings . Accessed 28 Nov. 2020.

MLA7

Pearl, Precy. "ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS". Afribary.com, Afribary.com, 21 Aug. 2019. Web. 28 Nov. 2020. < https://afribary.com/works/hammings >.

Chicago

Pearl, Precy. "ON HAMMING’S LINEAR MULTI-STEP FIXED POINT ITERATIVE METHOD AND ITS APPLICATION IN THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS" Afribary.com (2019). Accessed November 28, 2020. https://afribary.com/works/hammings